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10131322121 = 671932413251
BaseRepresentation
bin10010110111101111…
…11011010100001001
3222011001212111012122
421123313323110021
5131222104301441
64353153221025
7506030550164
oct113367732411
928131774178
1010131322121
11432995a298
121b68b61775
13c55c7997b
146c1788adb
153e469d34b
hex25bdfb509

10131322121 has 16 divisors (see below), whose sum is σ = 10381892928. Its totient is φ = 9884160000.

The previous prime is 10131322109. The next prime is 10131322169. The reversal of 10131322121 is 12122313101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10131322121 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10131322121.

It is not an unprimeable number, because it can be changed into a prime (10131327121) 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, 3114746 + ... + 3117996.

It is an arithmetic number, because the mean of its divisors is an integer number (648868308).

Almost surely, 210131322121 is an apocalyptic number.

It is an amenable number.

10131322121 is a deficient number, since it is larger than the sum of its proper divisors (250570807).

10131322121 is a wasteful number, since it uses less digits than its factorization.

10131322121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3752.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10131322121 its reverse (12122313101), we get a palindrome (22253635222).

The spelling of 10131322121 in words is "ten billion, one hundred thirty-one million, three hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 67 193 241 3251 12931 16147 46513 217817 627443 783491 3116371 42038681 52493897 151213763 10131322121