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100023431031 = 32139371921499
BaseRepresentation
bin101110100100111011…
…1000110111101110111
3100120011210201202120200
41131021313012331313
53114321444243111
6113541121131543
710140450064356
oct1351167067567
9316153652520
10100023431031
113946868a197
1217475789bb3
139580624764
144bac1dd99d
152906317256
hex1749dc6f77

100023431031 has 24 divisors (see below), whose sum is σ = 145563600000. Its totient is φ = 66181678992.

The previous prime is 100023431023. The next prime is 100023431089. The reversal of 100023431031 is 130134320001.

It is not a de Polignac number, because 100023431031 - 23 = 100023431023 is a prime.

It is a super-2 number, since 2×1000234310312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100023430995 and 100023431013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100023432031) 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, 4641720 + ... + 4663218.

It is an arithmetic number, because the mean of its divisors is an integer number (6065150000).

Almost surely, 2100023431031 is an apocalyptic number.

100023431031 is a deficient number, since it is larger than the sum of its proper divisors (45540168969).

100023431031 is a wasteful number, since it uses less digits than its factorization.

100023431031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25363 (or 25360 counting only the distinct ones).

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

Adding to 100023431031 its reverse (130134320001), we get a palindrome (230157751032).

The spelling of 100023431031 in words is "one hundred billion, twenty-three million, four hundred thirty-one thousand, thirty-one".

Divisors: 1 3 9 139 417 1251 3719 11157 21499 33471 64497 193491 516941 1550823 2988361 4652469 8965083 26895249 79954781 239864343 719593029 11113714559 33341143677 100023431031