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131231334023001 = 32431375827424777
BaseRepresentation
bin11101110101101010101101…
…000011000011111101011001
3122012122121000022012200122200
4131311222231003003331121
5114200043233002214001
61143034501555240413
736433102536206322
oct3565525503037531
9565577008180580
10131231334023001
11388a59949535a3
12128756182a9109
13582c0a57230b4
1424598b7d8b449
15102896506e086
hex775aad0c3f59

131231334023001 has 48 divisors (see below), whose sum is σ = 195414449740224. Its totient is φ = 84814459817472.

The previous prime is 131231334022993. The next prime is 131231334023029. The reversal of 131231334023001 is 100320433132131.

131231334023001 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 3 + 13 + 340 + 2 + 300 + 1 = 666.

It is not a de Polignac number, because 131231334023001 - 23 = 131231334022993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131231334023051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 308729325 + ... + 309154101.

It is an arithmetic number, because the mean of its divisors is an integer number (4071134369588).

Almost surely, 2131231334023001 is an apocalyptic number.

It is an amenable number.

131231334023001 is a deficient number, since it is larger than the sum of its proper divisors (64183115717223).

131231334023001 is a wasteful number, since it uses less digits than its factorization.

131231334023001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430790 (or 430787 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 131231334023001 its reverse (100320433132131), we get a palindrome (231551767155132).

The spelling of 131231334023001 in words is "one hundred thirty-one trillion, two hundred thirty-one billion, three hundred thirty-four million, twenty-three thousand, one".

Divisors: 1 3 9 43 129 137 387 411 1233 5827 5891 17481 17673 52443 53019 250561 424777 751683 798299 1274331 2255049 2394897 3822993 7184691 18265411 34326857 54796233 58194449 102980571 164388699 174583347 308941713 523750041 2475175579 2502361307 7425526737 7507083921 22276580211 22521251763 106432549897 319297649691 339099054323 957892949073 1017297162969 3051891488907 14581259335889 43743778007667 131231334023001