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131211210000393 = 3310148115588559
BaseRepresentation
bin11101110101010111111101…
…100100000000100000001001
3122012120200001211022102101000
4131311113331210000200021
5114144231024230003033
61143021333035445213
736431461046635425
oct3565277544004011
9565520054272330
10131211210000393
11388983a8415556
12128717408b6809
13582a219443603
14245892941db85
1510281884a5a13
hex7755fd900809

131211210000393 has 16 divisors (see below), whose sum is σ = 196311601324800. Its totient is φ = 86608059404400.

The previous prime is 131211210000391. The next prime is 131211210000413. The reversal of 131211210000393 is 393000012112131.

131211210000393 is a `hidden beast` number, since 131 + 21 + 121 + 0 + 0 + 0 + 0 + 393 = 666.

It is not a de Polignac number, because 131211210000393 - 21 = 131211210000391 is a prime.

It is a super-2 number, since 2×1312112100003932 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (131211210000391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24057791553 + ... + 24057797006.

It is an arithmetic number, because the mean of its divisors is an integer number (12269475082800).

Almost surely, 2131211210000393 is an apocalyptic number.

It is an amenable number.

131211210000393 is a deficient number, since it is larger than the sum of its proper divisors (65100391324407).

131211210000393 is a wasteful number, since it uses less digits than its factorization.

131211210000393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48115588669 (or 48115588663 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 131211210000393 in words is "one hundred thirty-one trillion, two hundred eleven billion, two hundred ten million, three hundred ninety-three", and thus it is an aban number.

Divisors: 1 3 9 27 101 303 909 2727 48115588559 144346765677 433040297031 1299120891093 4859674444459 14579023333377 43737070000131 131211210000393