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10132131213 = 33675600957
BaseRepresentation
bin10010110111110110…
…00000110110001101
3222011010101121002000
421123323000312031
5131222311144323
64353222422513
7506040460101
oct113373006615
928133347060
1010132131213
11432a362166
121b69291a39
13c561a1019
146c1919901
153e47ace43
hex25bec0d8d

10132131213 has 16 divisors (see below), whose sum is σ = 15234605760. Its totient is φ = 6653935728.

The previous prime is 10132131209. The next prime is 10132131227. The reversal of 10132131213 is 31213123101.

10132131213 is a `hidden beast` number, since 101 + 321 + 31 + 213 = 666.

It is not a de Polignac number, because 10132131213 - 22 = 10132131209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132131413) 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, 2798670 + ... + 2802287.

It is an arithmetic number, because the mean of its divisors is an integer number (952162860).

Almost surely, 210132131213 is an apocalyptic number.

It is an amenable number.

10132131213 is a deficient number, since it is larger than the sum of its proper divisors (5102474547).

10132131213 is an equidigital number, since it uses as much as digits as its factorization.

10132131213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5601033 (or 5601027 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10132131213 its reverse (31213123101), we get a palindrome (41345254314).

The spelling of 10132131213 in words is "ten billion, one hundred thirty-two million, one hundred thirty-one thousand, two hundred thirteen".

Divisors: 1 3 9 27 67 201 603 1809 5600957 16802871 50408613 151225839 375264119 1125792357 3377377071 10132131213