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22321300212420 = 22351143786515159
BaseRepresentation
bin1010001001101000101010…
…01010111000101011000100
32221000220011210100021202020
411010310111022320223010
510411203010323244140
6115250132545443140
74462442425203066
oct504642512705304
987026153307666
1022321300212420
117126457066a60
1226060263404b0
13c5bb745321a1
145724dcaad736
1528a9654c16d0
hex144d152b8ac4

22321300212420 has 96 divisors (see below), whose sum is σ = 69767040752640. Its totient is φ = 5285381861760.

The previous prime is 22321300212389. The next prime is 22321300212437. The reversal of 22321300212420 is 2421200312322.

It is a super-3 number, since 3×223213002124203 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 393229200 + ... + 393285959.

It is an arithmetic number, because the mean of its divisors is an integer number (726740007840).

Almost surely, 222321300212420 is an apocalyptic number.

22321300212420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22321300212420 is an abundant number, since it is smaller than the sum of its proper divisors (47445740540220).

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

22321300212420 is a wasteful number, since it uses less digits than its factorization.

22321300212420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786515225 (or 786515223 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 22321300212420 its reverse (2421200312322), we get a palindrome (24742500524742).

The spelling of 22321300212420 in words is "twenty-two trillion, three hundred twenty-one billion, three hundred million, two hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 43 44 55 60 66 86 110 129 132 165 172 215 220 258 330 430 473 516 645 660 860 946 1290 1419 1892 2365 2580 2838 4730 5676 7095 9460 14190 28380 786515159 1573030318 2359545477 3146060636 3932575795 4719090954 7865151590 8651666749 9438181908 11797727385 15730303180 17303333498 23595454770 25955000247 33820151837 34606666996 43258333745 47190909540 51910000494 67640303674 86516667490 101460455511 103820000988 129775001235 135280607348 169100759185 173033334980 202920911022 259550002470 338201518370 372021670207 405841822044 507302277555 519100004940 676403036740 744043340414 1014604555110 1116065010621 1488086680828 1860108351035 2029209110220 2232130021242 3720216702070 4464260042484 5580325053105 7440433404140 11160650106210 22321300212420