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131103220305204 = 22327291278143043
BaseRepresentation
bin11101110011110011011000…
…111000000000110100110100
3122012012100022211122111202200
4131303303120320000310310
5114140443343344231304
61142455553221504500
736420616005446100
oct3563633070006464
9565170284574680
10131103220305204
1138856622010184
1212854823272130
13581cc9958b2a4
142453603218900
151025467b08e39
hex773cd8e00d34

131103220305204 has 108 divisors (see below), whose sum is σ = 385548183113184. Its totient is φ = 37453954251168.

The previous prime is 131103220305179. The next prime is 131103220305229. The reversal of 131103220305204 is 402503022301131.

131103220305204 is a `hidden beast` number, since 1 + 3 + 1 + 10 + 322 + 0 + 305 + 20 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (131103220305179) and next prime (131103220305229).

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, 12028507 + ... + 20171549.

Almost surely, 2131103220305204 is an apocalyptic number.

131103220305204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131103220305204 is an abundant number, since it is smaller than the sum of its proper divisors (254444962807980).

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

131103220305204 is a wasteful number, since it uses less digits than its factorization.

131103220305204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8152194 (or 8152182 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 131103220305204 its reverse (402503022301131), we get a palindrome (533606242606335).

The spelling of 131103220305204 in words is "one hundred thirty-one trillion, one hundred three billion, two hundred twenty million, three hundred five thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 9127 18254 27381 36508 54762 63889 82143 109524 127778 164286 191667 255556 328572 383334 447223 575001 766668 894446 1150002 1341669 1788892 2300004 2683338 4025007 5366676 8050014 8143043 16100028 16286086 24429129 32572172 48858258 57001301 73287387 97716516 114002602 146574774 171003903 228005204 293149548 342007806 399009107 513011709 684015612 798018214 1026023418 1197027321 1596036428 2052046836 2394054642 3591081963 4788109284 7182163926 14364327852 74321553461 148643106922 222964660383 297286213844 445929320766 520250874227 668893981149 891858641532 1040501748454 1337787962298 1560752622681 2081003496908 2675575924596 3121505245362 3641756119589 4682257868043 6243010490724 7283512239178 9364515736086 10925268358767 14567024478356 18729031472172 21850536717534 32775805076301 43701073435068 65551610152602 131103220305204