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100020233112 = 23359316134357
BaseRepresentation
bin101110100100110101…
…0111010001110011000
3100120011120201021212020
41131021222322032120
53114320134424422
6113540524414440
710140410645112
oct1351152721630
9316146637766
10100020233112
11394668a5588
12174746a7420
13957ca74cb7
144baba0a3b2
152905dd495c
hex1749aba398

100020233112 has 64 divisors (see below), whose sum is σ = 250685059680. Its totient is φ = 33255585792.

The previous prime is 100020233083. The next prime is 100020233129. The reversal of 100020233112 is 211332020001.

It is a junction number, because it is equal to n+sod(n) for n = 100020233091 and 100020233100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22954038 + ... + 22958394.

Almost surely, 2100020233112 is an apocalyptic number.

100020233112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100020233112 is an abundant number, since it is smaller than the sum of its proper divisors (150664826568).

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

100020233112 is a wasteful number, since it uses less digits than its factorization.

100020233112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6572 (or 6568 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100020233112 its reverse (211332020001), we get a palindrome (311352253113).

The spelling of 100020233112 in words is "one hundred billion, twenty million, two hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 593 1186 1613 1779 2372 3226 3558 4357 4744 4839 6452 7116 8714 9678 12904 13071 14232 17428 19356 26142 34856 38712 52284 104568 956509 1913018 2583701 2869527 3826036 5167402 5739054 7027841 7652072 7751103 10334804 11478108 14055682 15502206 20669608 21083523 22956216 28111364 31004412 42167046 56222728 62008824 84334092 168668184 4167509713 8335019426 12502529139 16670038852 25005058278 33340077704 50010116556 100020233112