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10102431014 = 2131312966069
BaseRepresentation
bin10010110100010011…
…01101110100100110
3222002001111200001122
421122021231310212
5131142210243024
64350242053542
7505230150434
oct113211556446
928061450048
1010102431014
114314616a45
121b5b34a2b2
13c4cca2640
146bb9c7d54
153e1d92d5e
hex25a26dd26

10102431014 has 16 divisors (see below), whose sum is σ = 16443892080. Its totient is φ = 4627066080.

The previous prime is 10102430993. The next prime is 10102431023. The reversal of 10102431014 is 41013420101.

It is a happy number.

10102431014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101024310142 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10102430983 and 10102431001.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1479629 + ... + 1486440.

It is an arithmetic number, because the mean of its divisors is an integer number (1027743255).

Almost surely, 210102431014 is an apocalyptic number.

10102431014 is a deficient number, since it is larger than the sum of its proper divisors (6341461066).

10102431014 is a wasteful number, since it uses less digits than its factorization.

10102431014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966215.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10102431014 its reverse (41013420101), we get a palindrome (51115851115).

The spelling of 10102431014 in words is "ten billion, one hundred two million, four hundred thirty-one thousand, fourteen".

Divisors: 1 2 13 26 131 262 1703 3406 2966069 5932138 38558897 77117794 388555039 777110078 5051215507 10102431014