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13023000202131 = 3243401216138833
BaseRepresentation
bin1011110110000010011101…
…0011010000101110010011
31201002222122021102212010200
42331200213103100232103
53201332101022432011
643410403402430243
72512611041162313
oct275404723205623
951088567385120
1013023000202131
114171029118007
121563b40502383
137360a9ab858a
14330460967443
15178b589d6856
hexbd8274d0b93

13023000202131 has 48 divisors (see below), whose sum is σ = 19305893129952. Its totient is φ = 8454813696000.

The previous prime is 13023000202097. The next prime is 13023000202211. The reversal of 13023000202131 is 13120200032031.

13023000202131 is a `hidden beast` number, since 1 + 30 + 2 + 300 + 0 + 202 + 131 = 666.

13023000202131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13023000202131 - 213 = 13023000193939 is a prime.

It is a super-2 number, since 2×130230002021312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13023000202631) 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, 335339691 + ... + 335378523.

It is an arithmetic number, because the mean of its divisors is an integer number (402206106874).

Almost surely, 213023000202131 is an apocalyptic number.

13023000202131 is a deficient number, since it is larger than the sum of its proper divisors (6282892927821).

13023000202131 is a wasteful number, since it uses less digits than its factorization.

13023000202131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41444 (or 41441 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13023000202131 its reverse (13120200032031), we get a palindrome (26143200234162).

The spelling of 13023000202131 in words is "thirteen trillion, twenty-three billion, two hundred two thousand, one hundred thirty-one".

Divisors: 1 3 9 43 129 387 401 1203 2161 3609 6483 17243 19449 38833 51729 92923 116499 155187 278769 349497 836307 866561 1669819 2599683 5009457 7799049 15028371 15572033 37262123 46716099 83918113 111786369 140148297 251754339 335359107 669597419 755263017 2008792257 3608478859 6026376771 10825436577 32476309731 33651163313 100953489939 302860469817 1447000022459 4341000067377 13023000202131