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113422313004 = 223711139442417
BaseRepresentation
bin110100110100001111…
…1110010011000101100
3101211202121002111020120
41221220133302120230
53324242103004004
6124034441444540
711123465516250
oct1515037623054
9354677074216
10113422313004
1144113a36570
1219b94aa0750
13a907535ba0
1456bd91c260
152e3c7ab3d9
hex1a687f262c

113422313004 has 96 divisors (see below), whose sum is σ = 355337074176. Its totient is φ = 27194158080.

The previous prime is 113422312967. The next prime is 113422313023. The reversal of 113422313004 is 400313224311.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4709197 + ... + 4733220.

It is an arithmetic number, because the mean of its divisors is an integer number (3701427856).

Almost surely, 2113422313004 is an apocalyptic number.

113422313004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

113422313004 is an abundant number, since it is smaller than the sum of its proper divisors (241914761172).

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

113422313004 is a wasteful number, since it uses less digits than its factorization.

113422313004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9442455 (or 9442453 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 113422313004 its reverse (400313224311), we get a palindrome (513735537315).

It can be divided in two parts, 113422 and 313004, that added together give a triangular number (426426 = T923).

The spelling of 113422313004 in words is "one hundred thirteen billion, four hundred twenty-two million, three hundred thirteen thousand, four".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 4004 6006 12012 9442417 18884834 28327251 37769668 56654502 66096919 103866587 113309004 122751421 132193838 198290757 207733174 245502842 264387676 311599761 368254263 396581514 415466348 491005684 623199522 727066109 736508526 793163028 859259947 1246399044 1350265631 1454132218 1473017052 1718519894 2181198327 2577779841 2700531262 2908264436 3437039788 4050796893 4362396654 5155559682 5401062524 8101593786 8724793308 9451859417 10311119364 16203187572 18903718834 28355578251 37807437668 56711156502 113422313004