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131012223330042 = 23231792972011781
BaseRepresentation
bin11101110010011110101001…
…000010000110011011111010
3122011212122110002210012211100
4131302132221002012123322
5114133001013133030132
61142350103504512230
736411215012100315
oct3562365102063372
9564778402705740
10131012223330042
1138820a7665197a
121283b06861b676
13581452704a8a2
14244d04db5997c
151022ddde9737c
hex7727a90866fa

131012223330042 has 48 divisors (see below), whose sum is σ = 296725656314880. Its totient is φ = 41727045391200.

The previous prime is 131012223330017. The next prime is 131012223330089. The reversal of 131012223330042 is 240033322210131.

131012223330042 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 122 + 233 + 300 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 131012223329988 and 131012223330015.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1485961809 + ... + 1486049972.

It is an arithmetic number, because the mean of its divisors is an integer number (6181784506560).

Almost surely, 2131012223330042 is an apocalyptic number.

131012223330042 is an abundant number, since it is smaller than the sum of its proper divisors (165713432984838).

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

131012223330042 is a wasteful number, since it uses less digits than its factorization.

131012223330042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2972011899 (or 2972011896 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 131012223330042 its reverse (240033322210131), we get a palindrome (371045545540173).

The spelling of 131012223330042 in words is "one hundred thirty-one trillion, twelve billion, two hundred twenty-three million, three hundred thirty thousand, forty-two".

Divisors: 1 2 3 6 9 18 31 62 79 93 158 186 237 279 474 558 711 1422 2449 4898 7347 14694 22041 44082 2972011781 5944023562 8916035343 17832070686 26748106029 53496212058 92132365211 184264730422 234788930699 276397095633 469577861398 552794191266 704366792097 829191286899 1408733584194 1658382573798 2113100376291 4226200752582 7278456851669 14556913703338 21835370555007 43670741110014 65506111665021 131012223330042