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113313332210022 = 232721117115016263
BaseRepresentation
bin11001110000111011010000…
…111010100010100101100110
3112212012122111221122112020200
4121300323100322202211212
5104323011201021210042
61040555232020011330
732603422001565300
oct3160732072424546
9485178457575220
10113313332210022
1133117a06a6195a
1210860a71830b46
134b2c52aa99619
141dda5748a0970
15d17816cd9c4c
hex670ed0ea2966

113313332210022 has 72 divisors (see below), whose sum is σ = 285851531146896. Its totient is φ = 32346253394784.

The previous prime is 113313332209937. The next prime is 113313332210077. The reversal of 113313332210022 is 220012233313311.

113313332210022 is a `hidden beast` number, since 1 + 1 + 3 + 313 + 3 + 322 + 1 + 0 + 0 + 22 = 666.

It is a super-2 number, since 2×1133133322100222 (a number of 29 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 56522938 + ... + 58493325.

It is an arithmetic number, because the mean of its divisors is an integer number (3970160154818).

Almost surely, 2113313332210022 is an apocalyptic number.

113313332210022 is an abundant number, since it is smaller than the sum of its proper divisors (172538198936874).

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

113313332210022 is a wasteful number, since it uses less digits than its factorization.

113313332210022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115017402 (or 115017392 counting only the distinct ones).

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

Adding to 113313332210022 its reverse (220012233313311), we get a palindrome (333325565523333).

The spelling of 113313332210022 in words is "one hundred thirteen trillion, three hundred thirteen billion, three hundred thirty-two million, two hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 1117 2234 3351 6702 7819 10053 15638 20106 23457 46914 54733 70371 109466 140742 164199 328398 492597 985194 115016263 230032526 345048789 690097578 805113841 1035146367 1610227682 2070292734 2415341523 4830683046 5635796887 7246024569 11271593774 14492049138 16907390661 33814781322 50722171983 101444343966 128473165771 256946331542 385419497313 770838994626 899312160397 1156258491939 1798624320794 2312516983878 2697936481191 5395872962382 6295185122779 8093809443573 12590370245558 16187618887146 18885555368337 37771110736674 56656666105011 113313332210022