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100023132096 = 263357883757
BaseRepresentation
bin101110100100111010…
…1111101111111000000
3100120011210011120112000
41131021311331333000
53114321410211341
6113541110504000
710140444411006
oct1351165757700
9316153146460
10100023132096
11394684a5638
1217475665000
13958054b684
144bac162a76
1529062a88b6
hex1749d7dfc0

100023132096 has 56 divisors (see below), whose sum is σ = 294049490640. Its totient is φ = 33341043456.

The previous prime is 100023132023. The next prime is 100023132103. The reversal of 100023132096 is 690231320001.

100023132096 is a `hidden beast` number, since 100 + 0 + 231 + 320 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28940151 + ... + 28943606.

Almost surely, 2100023132096 is an apocalyptic number.

100023132096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100023132096 is an abundant number, since it is smaller than the sum of its proper divisors (194026358544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100023132096 is an equidigital number, since it uses as much as digits as its factorization.

100023132096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57883778 (or 57883762 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 100023132096 its reverse (690231320001), we get a palindrome (790254452097).

The spelling of 100023132096 in words is "one hundred billion, twenty-three million, one hundred thirty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 57883757 115767514 173651271 231535028 347302542 463070056 520953813 694605084 926140112 1041907626 1389210168 1562861439 1852280224 2083815252 2778420336 3125722878 3704560448 4167630504 5556840672 6251445756 8335261008 11113681344 12502891512 16670522016 25005783024 33341044032 50011566048 100023132096