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111113302132014 = 23713298398363989
BaseRepresentation
bin11001010000111010010100…
…111001110100010100101110
3112120102022212001220212111220
4121100322110321310110232
5104030440020321211024
61032152425112124210
732255446131511230
oct3120722471642456
9476368761825456
10111113302132014
1132449983376916
1210566604096666
1349ccc29c14760
141d61cabd40250
15cca4a2de5e79
hex650e94e7452e

111113302132014 has 128 divisors (see below), whose sum is σ = 283278304512000. Its totient is φ = 28260376478208.

The previous prime is 111113302132003. The next prime is 111113302132037. The reversal of 111113302132014 is 410231203311111.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 9102732 + ... + 17466720.

It is an arithmetic number, because the mean of its divisors is an integer number (2213111754000).

Almost surely, 2111113302132014 is an apocalyptic number.

111113302132014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111113302132014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141639152256000).

111113302132014 is an abundant number, since it is smaller than the sum of its proper divisors (172165002379986).

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

111113302132014 is a wasteful number, since it uses less digits than its factorization.

111113302132014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8364882.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 111113302132014 its reverse (410231203311111), we get a palindrome (521344505443125).

The spelling of 111113302132014 in words is "one hundred eleven trillion, one hundred thirteen billion, three hundred two million, one hundred thirty-two thousand, fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 29 39 42 58 78 87 91 174 182 203 273 377 406 546 609 754 839 1131 1218 1678 2262 2517 2639 5034 5278 5873 7917 10907 11746 15834 17619 21814 24331 32721 35238 48662 65442 72993 76349 145986 152698 170317 229047 316303 340634 458094 510951 632606 948909 1021902 1897818 2214121 4428242 6642363 8363989 13284726 16727978 25091967 50183934 58547923 108731857 117095846 175643769 217463714 242555681 326195571 351287538 485111362 652391142 727667043 761122999 1455334086 1522245998 1697889767 2283368997 3153223853 3395779534 4566737994 5093669301 6306447706 7017386771 9459671559 10187338602 14034773542 18919343118 21052160313 22072566971 42104320626 44145133942 49121707397 66217700913 91226028023 98243414794 132435401826 147365122191 182452056046 203504216359 273678084069 294730244382 407008432718 547356168138 610512649077 638582196161 1221025298154 1277164392322 1424529514513 1915746588483 2645554812667 2849059029026 3831493176966 4273588543539 5291109625334 7936664438001 8547177087078 15873328876002 18518883688669 37037767377338 55556651066007 111113302132014