Search a number
-
+
10023132031 = 1179101114199
BaseRepresentation
bin10010101010110110…
…01101101101111111
3221212112021212022021
421111123031231333
5131011410211111
64334330301011
7503245134163
oct112533155577
927775255267
1010023132031
1142838844a0
121b38887767
13c39729373
146b1264ca3
153d9e2bd71
hex2556cdb7f

10023132031 has 16 divisors (see below), whose sum is σ = 11182464000. Its totient is φ = 8907444000.

The previous prime is 10023132023. The next prime is 10023132059. The reversal of 10023132031 is 13023132001.

It is a cyclic number.

It is not a de Polignac number, because 10023132031 - 23 = 10023132023 is a prime.

It is a super-2 number, since 2×100231320312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10023131996 and 10023132014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023132011) 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, 30670 + ... + 144868.

It is an arithmetic number, because the mean of its divisors is an integer number (698904000).

Almost surely, 210023132031 is an apocalyptic number.

10023132031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10023132031 is a deficient number, since it is larger than the sum of its proper divisors (1159331969).

10023132031 is a wasteful number, since it uses less digits than its factorization.

10023132031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114390.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10023132031 its reverse (13023132001), we get a palindrome (23046264032).

The spelling of 10023132031 in words is "ten billion, twenty-three million, one hundred thirty-two thousand, thirty-one".

Divisors: 1 11 79 101 869 1111 7979 87769 114199 1256189 9021721 11534099 99238931 126875089 911193821 10023132031