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10123012031 = 1153131132547
BaseRepresentation
bin10010110110110000…
…01110011110111111
3222010111020021220112
421123120032132333
5131212442341111
64352255140235
7505600116416
oct113330163677
928114207815
1010123012031
1143251a3850
121b6621467b
13c5432a362
146c062447d
153e3aaae8b
hex25b60e7bf

10123012031 has 16 divisors (see below), whose sum is σ = 11337625728. Its totient is φ = 8960109600.

The previous prime is 10123012007. The next prime is 10123012043. The reversal of 10123012031 is 13021032101.

It is a cyclic number.

It is not a de Polignac number, because 10123012031 - 26 = 10123011967 is a prime.

It is a super-2 number, since 2×101230120312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10123011997 and 10123012015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123012051) 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, 10100 + ... + 142646.

It is an arithmetic number, because the mean of its divisors is an integer number (708601608).

Almost surely, 210123012031 is an apocalyptic number.

10123012031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10123012031 is a deficient number, since it is larger than the sum of its proper divisors (1214613697).

10123012031 is a wasteful number, since it uses less digits than its factorization.

10123012031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132742.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10123012031 its reverse (13021032101), we get a palindrome (23144044132).

The spelling of 10123012031 in words is "ten billion, one hundred twenty-three million, twelve thousand, thirty-one".

Divisors: 1 11 53 131 583 1441 6943 76373 132547 1458017 7024991 17363657 77274901 191000227 920273821 10123012031