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11110414302 = 23313101349449
BaseRepresentation
bin10100101100011101…
…10111011111011110
31001200022012112012000
422112032313133132
5140223231224202
65034250423130
7542216651301
oct122616673736
931608175160
1011110414302
1147915a2789
1221a0a31aa6
131080a76460
14775812b38
154505ee91c
hex2963b77de

11110414302 has 128 divisors (see below), whose sum is σ = 26989200000. Its totient is φ = 3367526400.

The previous prime is 11110414283. The next prime is 11110414333. The reversal of 11110414302 is 20341401111.

It is a super-2 number, since 2×111104143022 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24744574 + ... + 24745022.

It is an arithmetic number, because the mean of its divisors is an integer number (210853125).

Almost surely, 211110414302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11110414302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13494600000).

11110414302 is an abundant number, since it is smaller than the sum of its proper divisors (15878785698).

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

11110414302 is a wasteful number, since it uses less digits than its factorization.

11110414302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11110414302 its reverse (20341401111), we get a palindrome (31451815413).

The spelling of 11110414302 in words is "eleven billion, one hundred ten million, four hundred fourteen thousand, three hundred two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 101 117 202 234 303 349 351 449 606 698 702 898 909 1047 1313 1347 1818 2094 2626 2694 2727 3141 3939 4041 4537 5454 5837 6282 7878 8082 9074 9423 11674 11817 12123 13611 17511 18846 23634 24246 27222 35022 35249 35451 40833 45349 52533 70498 70902 81666 90698 105066 105747 122499 136047 156701 157599 211494 244998 272094 313402 315198 317241 408141 458237 470103 589537 634482 816282 916474 940206 951723 1179074 1224423 1374711 1410309 1768611 1903446 2037113 2448846 2749422 2820618 3537222 4074226 4124133 4230927 5305833 6111339 8248266 8461854 10611666 12222678 12372399 15826801 15917499 18334017 24744798 31653602 31834998 36668034 47480403 55002051 94960806 110004102 142441209 205748413 284882418 411496826 427323627 617245239 854647254 1234490478 1851735717 3703471434 5555207151 11110414302