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13130202321 = 323739430037
BaseRepresentation
bin11000011101001111…
…01111110011010001
31020220001210101110200
430032213233303101
5203342312433241
610010521445413
7643243610145
oct141647576321
936801711420
1013130202321
115628725385
122665340869
13131335b5b2
148c7b7d225
1551cac04b6
hex30e9efcd1

13130202321 has 12 divisors (see below), whose sum is σ = 19478438772. Its totient is φ = 8516887776.

The previous prime is 13130202311. The next prime is 13130202383. The reversal of 13130202321 is 12320203131.

13130202321 is a `hidden beast` number, since 13 + 130 + 202 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12445856721 + 684345600 = 111561^2 + 26160^2 .

It is not a de Polignac number, because 13130202321 - 27 = 13130202193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13130202294 and 13130202303.

It is not an unprimeable number, because it can be changed into a prime (13130202311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19714686 + ... + 19715351.

It is an arithmetic number, because the mean of its divisors is an integer number (1623203231).

Almost surely, 213130202321 is an apocalyptic number.

It is an amenable number.

13130202321 is a deficient number, since it is larger than the sum of its proper divisors (6348236451).

13130202321 is a wasteful number, since it uses less digits than its factorization.

13130202321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39430080 (or 39430077 counting only the distinct ones).

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

Adding to 13130202321 its reverse (12320203131), we get a palindrome (25450405452).

The spelling of 13130202321 in words is "thirteen billion, one hundred thirty million, two hundred two thousand, three hundred twenty-one".

Divisors: 1 3 9 37 111 333 39430037 118290111 354870333 1458911369 4376734107 13130202321