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10130131211 = 41798935141
BaseRepresentation
bin10010110111100110…
…11000100100001011
3222010222121222120212
421123303120210023
5131221303144321
64353111511335
7506014460144
oct113363304413
928128558525
1010130131211
114329216572
121b6868854b
13c559508a5
146c1558acb
153e451555b
hex25bcd890b

10130131211 has 16 divisors (see below), whose sum is σ = 10626940800. Its totient is φ = 9648038400.

The previous prime is 10130131177. The next prime is 10130131213. The reversal of 10130131211 is 11213103101.

It is a happy number.

10130131211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10130131211 - 222 = 10125936907 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10130131213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270701 + ... + 305841.

It is an arithmetic number, because the mean of its divisors is an integer number (664183800).

Almost surely, 210130131211 is an apocalyptic number.

10130131211 is a deficient number, since it is larger than the sum of its proper divisors (496809589).

10130131211 is an equidigital number, since it uses as much as digits as its factorization.

10130131211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35350.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 10130131211 its reverse (11213103101), we get a palindrome (21343234312).

The spelling of 10130131211 in words is "ten billion, one hundred thirty million, one hundred thirty-one thousand, two hundred eleven".

Divisors: 1 41 79 89 3239 3649 7031 35141 288271 1440781 2776139 3127549 113821699 128229509 247076371 10130131211