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113032133133132 = 223894991669127079
BaseRepresentation
bin11001101100110101011000…
…001001001100001101001100
3112211012202200200222100111010
4121230311120021030031030
5104303404302040230012
61040222124535525220
732544205426064553
oct3154653011141514
9484182620870433
10113032133133132
1133019727459444
1210816474829810
134b0bb660b53b5
141dcaada6b4d9a
15d10359e8ec3c
hex66cd5824c34c

113032133133132 has 96 divisors (see below), whose sum is σ = 267401736000000. Its totient is φ = 37156810166784.

The previous prime is 113032133133071. The next prime is 113032133133133. The reversal of 113032133133132 is 231331331230311.

113032133133132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1130321331331322 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113032133133132.

It is not an unprimeable number, because it can be changed into a prime (113032133133133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 889399969 + ... + 889527047.

It is an arithmetic number, because the mean of its divisors is an integer number (2785434750000).

Almost surely, 2113032133133132 is an apocalyptic number.

113032133133132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113032133133132 is an abundant number, since it is smaller than the sum of its proper divisors (154369602866868).

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

113032133133132 is a wasteful number, since it uses less digits than its factorization.

113032133133132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129343 (or 129341 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 30.

Adding to 113032133133132 its reverse (231331331230311), we get a palindrome (344363464363443).

The spelling of 113032133133132 in words is "one hundred thirteen trillion, thirty-two billion, one hundred thirty-three million, one hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 89 178 267 356 499 534 998 1068 1497 1669 1996 2994 3338 5007 5988 6676 10014 20028 44411 88822 127079 133233 148541 177644 254158 266466 297082 381237 445623 508316 532932 594164 762474 832831 891246 1524948 1665662 1782492 2498493 3331324 4996986 9993972 11310031 22620062 33930093 45240124 63412421 67860186 74121959 126824842 135720372 148243918 190237263 212094851 222365877 253649684 296487836 380474526 424189702 444731754 636284553 760949052 848379404 889463508 1272569106 2545138212 5643705469 11287410938 16931116407 18876441739 22574821876 33862232814 37752883478 56629325217 67724465628 75505766956 105835330649 113258650434 211670661298 226517300868 317505991947 423341322596 635011983894 1270023967788 9419344427761 18838688855522 28258033283283 37677377711044 56516066566566 113032133133132