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113032301133222 = 232293119993494279
BaseRepresentation
bin11001101100110101100010…
…001010000011110110100110
3112211012210010102002122021200
4121230311202022003312212
5104303410123042230342
61040222153340423330
732544212536054002
oct3154654212036646
9484183112078250
10113032301133222
1133019803275399
1210816500b47b46
134b0bb91b47333
141dcab14b27702
15d10369ac794c
hex66cd62283da6

113032301133222 has 96 divisors (see below), whose sum is σ = 261651686400000. Its totient is φ = 35187099917760.

The previous prime is 113032301133221. The next prime is 113032301133233. The reversal of 113032301133222 is 222331103230311.

113032301133222 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 3 + 2 + 301 + 1 + 332 + 22 = 666.

113032301133222 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113032301133221) 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, 30600679 + ... + 34094957.

It is an arithmetic number, because the mean of its divisors is an integer number (2725538400000).

Almost surely, 2113032301133222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113032301133222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130825843200000).

113032301133222 is an abundant number, since it is smaller than the sum of its proper divisors (148619385266778).

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

113032301133222 is a wasteful number, since it uses less digits than its factorization.

113032301133222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3496346 (or 3496343 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 113032301133222 its reverse (222331103230311), we get a palindrome (335363404363533).

The spelling of 113032301133222 in words is "one hundred thirteen trillion, thirty-two billion, three hundred one million, one hundred thirty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 29 31 58 62 87 93 174 186 261 279 522 558 899 1798 1999 2697 3998 5394 5997 8091 11994 16182 17991 35982 57971 61969 115942 123938 173913 185907 347826 371814 521739 557721 1043478 1115442 1797101 3494279 3594202 5391303 6988558 10482837 10782606 16173909 20965674 31448511 32347818 62897022 101334091 108322649 202668182 216645298 304002273 324967947 608004546 649935894 912006819 974903841 1824013638 1949807682 3141356821 6282713642 6985063721 9424070463 13970127442 18848140926 20955191163 28272211389 41910382326 56544422778 62865573489 125731146978 202566847909 216536975351 405133695818 433073950702 607700543727 649610926053 1215401087454 1299221852106 1823101631181 1948832778159 3646203262362 3897665556318 6279572285179 12559144570358 18838716855537 37677433711074 56516150566611 113032301133222