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10102311121 = 76767731817
BaseRepresentation
bin10010110100010010…
…10000100011010001
3222002001021120121011
421122021100203101
5131142142423441
64350235330521
7505226141050
oct113211204321
928061246534
1010102311121
114314544961
121b5b2b0a41
13c4cc5cbb6
146bb996397
153e1d6c581
hex25a2508d1

10102311121 has 16 divisors (see below), whose sum is σ = 11735496576. Its totient is φ = 8517015936.

The previous prime is 10102311113. The next prime is 10102311143. The reversal of 10102311121 is 12111320101.

It is a happy number.

10102311121 is digitally balanced in base 3, 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 10102311121 - 23 = 10102311113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102311151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301605 + ... + 333421.

It is an arithmetic number, because the mean of its divisors is an integer number (733468536).

Almost surely, 210102311121 is an apocalyptic number.

It is an amenable number.

10102311121 is a deficient number, since it is larger than the sum of its proper divisors (1633185455).

10102311121 is an equidigital number, since it uses as much as digits as its factorization.

10102311121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32568.

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

Adding to 10102311121 its reverse (12111320101), we get a palindrome (22213631222).

The spelling of 10102311121 in words is "ten billion, one hundred two million, three hundred eleven thousand, one hundred twenty-one".

Divisors: 1 7 67 469 677 4739 31817 45359 222719 317513 2131739 14922173 21540109 150780763 1443187303 10102311121