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131331051131142 = 232310161982118541
BaseRepresentation
bin11101110111000111100100…
…101001101001000100000110
3122020000010101202112122020010
4131313013210221221010012
5114203211443042144032
61143152352455051050
736443232606511242
oct3567074451510406
9566003352478203
10131331051131142
113893420562a875
1212890a07370a86
135838607744ab5
14246065760d422
15102b34e528ccc
hex7771e4a69106

131331051131142 has 128 divisors (see below), whose sum is σ = 277595705594880. Its totient is φ = 41339453760000.

The previous prime is 131331051131117. The next prime is 131331051131179. The reversal of 131331051131142 is 241131150133131.

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 63 ways as a sum of consecutive naturals, for example, 7083268392 + ... + 7083286932.

It is an arithmetic number, because the mean of its divisors is an integer number (2168716449960).

Almost surely, 2131331051131142 is an apocalyptic number.

131331051131142 is an abundant number, since it is smaller than the sum of its proper divisors (146264654463738).

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

131331051131142 is a wasteful number, since it uses less digits than its factorization.

131331051131142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20110.

The product of its (nonzero) digits is 3240, while the sum is 30.

The spelling of 131331051131142 in words is "one hundred thirty-one trillion, three hundred thirty-one billion, fifty-one million, one hundred thirty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 23 46 69 101 138 202 303 606 619 821 1238 1642 1857 2323 2463 3714 4646 4926 6969 13938 14237 18541 18883 28474 37082 37766 42711 55623 56649 62519 82921 85422 111246 113298 125038 165842 187557 248763 375114 426443 497526 508199 852886 1016398 1279329 1437937 1524597 1872641 1907183 2558658 2875874 3049194 3745282 3814366 4313811 5617923 5721549 8627622 11235846 11443098 11476879 11688577 15222161 22953758 23377154 30444322 34430637 35065731 43070743 45666483 51328099 68861274 70131462 86141486 91332966 102656198 129212229 153984297 258424458 263968217 307968594 350109703 527936434 700219406 791904651 1050329109 1159164779 1180546277 1537438261 1583809302 2100658218 2318329558 2361092554 3074876522 3477494337 3541638831 4612314783 6954988674 7083277662 9224629566 9422517659 18845035318 26660789917 28267552977 35361080003 53321579834 56535105954 70722160006 79982369751 106083240009 159964739502 212166480018 216717906157 433435812314 650153718471 951674283559 1300307436942 1903348567118 2855022850677 5710045701354 21888508521857 43777017043714 65665525565571 131331051131142