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131042400213102 = 23737232457362759
BaseRepresentation
bin11101110010111010101111…
…101101110001100001101110
3122011222112100011220201010220
4131302322233231301201232
5114133444313423304402
61142412014140112210
736413333560263240
oct3562725755614156
9564875304821126
10131042400213102
1138832851719854
1212844a8a835666
135817325c64c01
1424506b388a090
151023aa83b0dbc
hex772eafb7186e

131042400213102 has 64 divisors (see below), whose sum is σ = 307622940963840. Its totient is φ = 36428518215936.

The previous prime is 131042400213077. The next prime is 131042400213181. The reversal of 131042400213102 is 201312004240131.

It is a super-2 number, since 2×1310424002131022 (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 (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361056799 + ... + 361419557.

It is an arithmetic number, because the mean of its divisors is an integer number (4806608452560).

Almost surely, 2131042400213102 is an apocalyptic number.

131042400213102 is an abundant number, since it is smaller than the sum of its proper divisors (176580540750738).

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

131042400213102 is a wasteful number, since it uses less digits than its factorization.

131042400213102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595265.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131042400213102 its reverse (201312004240131), we get a palindrome (332354404453233).

The spelling of 131042400213102 in words is "one hundred thirty-one trillion, forty-two billion, four hundred million, two hundred thirteen thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 222 259 518 777 1554 232457 362759 464914 697371 725518 1088277 1394742 1627199 2176554 2539313 3254398 4881597 5078626 7617939 8600909 9763194 13422083 15235878 17201818 25802727 26844166 40266249 51605454 60206363 80532498 93954581 120412726 180619089 187909162 281863743 361238178 563727486 84325868863 168651737726 252977606589 505955213178 590281082041 1180562164082 1770843246123 3120057147931 3541686492246 6240114295862 9360171443793 18720342887586 21840400035517 43680800071034 65521200106551 131042400213102