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10102112031 = 311306124607
BaseRepresentation
bin10010110100010000…
…11111111100011111
3222002000220110111110
421122020133330133
5131142120041111
64350231153103
7505224351444
oct113210377437
928060813443
1010102112031
114314419320
121b5b215793
13c4cbc03ab
146bb9439cb
153e1d2d5a6
hex25a21ff1f

10102112031 has 8 divisors (see below), whose sum is σ = 14693981184. Its totient is φ = 6122492120.

The previous prime is 10102112023. The next prime is 10102112051. The reversal of 10102112031 is 13021120101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10102112031 - 23 = 10102112023 is a prime.

It is a super-2 number, since 2×101021120312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10102111998 and 10102112016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102112051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153062271 + ... + 153062336.

It is an arithmetic number, because the mean of its divisors is an integer number (1836747648).

Almost surely, 210102112031 is an apocalyptic number.

10102112031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10102112031 is a deficient number, since it is larger than the sum of its proper divisors (4591869153).

10102112031 is a wasteful number, since it uses less digits than its factorization.

10102112031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306124621.

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

Adding to 10102112031 its reverse (13021120101), we get a palindrome (23123232132).

The spelling of 10102112031 in words is "ten billion, one hundred two million, one hundred twelve thousand, thirty-one".

Divisors: 1 3 11 33 306124607 918373821 3367370677 10102112031