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131051434250442 = 23193137083031763
BaseRepresentation
bin11101110011000011001010…
…001011111001000011001010
3122012000101122210001100121110
4131303003022023321003022
5114134121314132003232
61142420110414551150
736414103465316436
oct3563031213710312
9565011583040543
10131051434250442
1138836668148812
12128467902084b6
1358181357a1a34
142450ccd6019c6
151023e36562acc
hex7730ca2f90ca

131051434250442 has 32 divisors (see below), whose sum is σ = 284797683947520. Its totient is φ = 40049674302960.

The previous prime is 131051434250419. The next prime is 131051434250497. The reversal of 131051434250442 is 244052434150131.

It is a self number, because there is not a number n which added to its sum of digits gives 131051434250442.

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 15 ways as a sum of consecutive naturals, for example, 18541512348 + ... + 18541519415.

It is an arithmetic number, because the mean of its divisors is an integer number (8899927623360).

Almost surely, 2131051434250442 is an apocalyptic number.

131051434250442 is an abundant number, since it is smaller than the sum of its proper divisors (153746249697078).

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

131051434250442 is a wasteful number, since it uses less digits than its factorization.

131051434250442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37083031818.

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 131051434250442 in words is "one hundred thirty-one trillion, fifty-one billion, four hundred thirty-four million, two hundred fifty thousand, four hundred forty-two".

Divisors: 1 2 3 6 19 31 38 57 62 93 114 186 589 1178 1767 3534 37083031763 74166063526 111249095289 222498190578 704577603497 1149573984653 1409155206994 2113732810491 2299147969306 3448721953959 4227465620982 6897443907918 21841905708407 43683811416814 65525717125221 131051434250442