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131141330441032 = 23177313209239569
BaseRepresentation
bin11101110100010110111000…
…011010101001001101001000
3122012022222200210120222222211
4131310112320122221031020
5114142104421043103112
61142525255010154504
736423435264323602
oct3564267032511510
9565288623528884
10131141330441032
11388707a92062aa
121286009a282a34
135823760c48612
1424553ba7da172
1510264487360a7
hex7745b86a9348

131141330441032 has 32 divisors (see below), whose sum is σ = 263920606608600. Its totient is φ = 60868175929344.

The previous prime is 131141330440961. The next prime is 131141330441041. The reversal of 131141330441032 is 230144033141131.

It can be written as a sum of positive squares in 4 ways, for example, as 129652701072196 + 1488629368836 = 11386514^2 + 1220094^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131141330440985 and 131141330441003.

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 7 ways as a sum of consecutive naturals, for example, 6604609857 + ... + 6604629712.

Almost surely, 2131141330441032 is an apocalyptic number.

It is an amenable number.

131141330441032 is an abundant number, since it is smaller than the sum of its proper divisors (132779276167568).

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

131141330441032 is a wasteful number, since it uses less digits than its factorization.

131141330441032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13209239665 (or 13209239661 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 131141330441032 its reverse (230144033141131), we get a palindrome (361285363582163).

The spelling of 131141330441032 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred thirty million, four hundred forty-one thousand, thirty-two".

Divisors: 1 2 4 8 17 34 68 73 136 146 292 584 1241 2482 4964 9928 13209239569 26418479138 52836958276 105673916552 224557072673 449114145346 898228290692 964274488537 1796456581384 1928548977074 3857097954148 7714195908296 16392666305129 32785332610258 65570665220516 131141330441032