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101232023013 = 32111109922043
BaseRepresentation
bin101111001000111100…
…1100001010111100101
3100200022000220121002200
41132101321201113211
53124310344214023
6114301053325113
710212423666222
oct1362171412745
9320260817080
10101232023013
1139a28924240
1217752496799
139713b36944
144c84928949
15297749d743
hex1791e615e5

101232023013 has 24 divisors (see below), whose sum is σ = 159661139040. Its totient is φ = 61297352160.

The previous prime is 101232023003. The next prime is 101232023041. The reversal of 101232023013 is 310320232101.

101232023013 is a `hidden beast` number, since 101 + 2 + 320 + 230 + 13 = 666.

It is not a de Polignac number, because 101232023013 - 25 = 101232022981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101232023003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351231 + ... + 570812.

It is an arithmetic number, because the mean of its divisors is an integer number (6652547460).

Almost surely, 2101232023013 is an apocalyptic number.

It is an amenable number.

101232023013 is a deficient number, since it is larger than the sum of its proper divisors (58429116027).

101232023013 is a wasteful number, since it uses less digits than its factorization.

101232023013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923169 (or 923166 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101232023013 its reverse (310320232101), we get a palindrome (411552255114).

It can be divided in two parts, 10123 and 2023013, that added together give a triangular number (2033136 = T2016).

The spelling of 101232023013 in words is "one hundred one billion, two hundred thirty-two million, twenty-three thousand, thirteen".

Divisors: 1 3 9 11 33 99 1109 3327 9981 12199 36597 109791 922043 2766129 8298387 10142473 30427419 91282257 1022545687 3067637061 9202911183 11248002557 33744007671 101232023013