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11124300434324 = 22721124188724137
BaseRepresentation
bin1010000111100001001111…
…1110011100101110010100
31110101110202121211222200012
42201320103332130232110
52424230031402344244
635354233313135352
72225463351351200
oct241702376345624
943343677758605
1011124300434324
1135a9875648a90
1212b7b6985a558
1362902b5504cc
142a65c1ab9b00
1514457de7c89e
hexa1e13f9cb94

11124300434324 has 144 divisors (see below), whose sum is σ = 24836120394624. Its totient is φ = 4311114393600.

The previous prime is 11124300434321. The next prime is 11124300434327. The reversal of 11124300434324 is 42343400342111.

It is an interprime number because it is at equal distance from previous prime (11124300434321) and next prime (11124300434327).

It is a super-2 number, since 2×111243004343242 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11124300434321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 460869584 + ... + 460893720.

It is an arithmetic number, because the mean of its divisors is an integer number (172473058296).

Almost surely, 211124300434324 is an apocalyptic number.

11124300434324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11124300434324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12418060197312).

11124300434324 is an abundant number, since it is smaller than the sum of its proper divisors (13711819960300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11124300434324 is a wasteful number, since it uses less digits than its factorization.

11124300434324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25294 (or 25285 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 11124300434324 its reverse (42343400342111), we get a palindrome (53467700776435).

The spelling of 11124300434324 in words is "eleven trillion, one hundred twenty-four billion, three hundred million, four hundred thirty-four thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 241 308 482 539 887 964 1078 1687 1774 2156 2651 3374 3548 5302 6209 6748 9757 10604 11809 12418 18557 19514 23618 24137 24836 37114 39028 43463 47236 48274 68299 74228 86926 96548 129899 136598 168959 173852 213767 259798 265507 273196 337918 427534 478093 519596 531014 675836 855068 956186 1062028 1182713 1496369 1858549 1912372 2351437 2365426 2992738 3717098 4702874 4730852 5817017 5985476 7434196 9405748 10474583 11634034 13009843 16460059 20949166 21409519 23268068 26019686 32920118 40719119 41898332 42819038 52039372 63987187 65840236 81438238 85638076 115220413 127974374 149866633 162876476 230440826 235504709 255948748 285033833 299733266 447910309 460881652 471009418 570067666 599466532 895820618 942018836 1049066431 1140135332 1648532963 1791641236 2098132862 3135372163 3297065926 4196265724 5159694079 6270744326 6594131852 10319388158 11539730741 12541488652 20638776316 23079461482 36117858553 46158922964 56756634869 72235717106 113513269738 144471434212 227026539476 252825009871 397296444083 505650019742 794592888166 1011300039484 1589185776332 2781075108581 5562150217162 11124300434324