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10131102121 = 72979631733
BaseRepresentation
bin10010110111101110…
…00101100110101001
3222011001110022102111
421123313011212221
5131222030231441
64353144402321
7506025642610
oct113367054651
928131408374
1010131102121
114329819a78
121b68a763a1
13c55c007aa
146c172c877
153e4658081
hex25bdc59a9

10131102121 has 16 divisors (see below), whose sum is σ = 12129292800. Its totient is φ = 8278216128.

The previous prime is 10131102103. The next prime is 10131102143. The reversal of 10131102121 is 12120113101.

It is a happy number.

It is not a de Polignac number, because 10131102121 - 25 = 10131102089 is a prime.

It is a super-2 number, since 2×101311021212 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10131142121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299830 + ... + 331903.

It is an arithmetic number, because the mean of its divisors is an integer number (758080800).

Almost surely, 210131102121 is an apocalyptic number.

It is an amenable number.

10131102121 is a deficient number, since it is larger than the sum of its proper divisors (1998190679).

10131102121 is an equidigital number, since it uses as much as digits as its factorization.

10131102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631848.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10131102121 its reverse (12120113101), we get a palindrome (22251215222).

The spelling of 10131102121 in words is "ten billion, one hundred thirty-one million, one hundred two thousand, one hundred twenty-one".

Divisors: 1 7 29 79 203 553 2291 16037 631733 4422131 18320257 49906907 128241799 349348349 1447300303 10131102121