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100012110999 = 331371271311747
BaseRepresentation
bin101110100100100101…
…1111011010010010111
3100120011000102122102020
41131021023323102113
53114311100022444
6113540034344223
710140251626353
oct1351113732227
9316130378366
10100012110999
1139462258299
1217471a2b073
13957b190108
144baa8d4463
15290532d119
hex17492fb497

100012110999 has 64 divisors (see below), whose sum is σ = 143654387712. Its totient is φ = 61774876800.

The previous prime is 100012110997. The next prime is 100012111013. The reversal of 100012110999 is 999011210001.

It is not a de Polignac number, because 100012110999 - 21 = 100012110997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012110997) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57247044 + ... + 57248790.

It is an arithmetic number, because the mean of its divisors is an integer number (2244599808).

Almost surely, 2100012110999 is an apocalyptic number.

100012110999 is a deficient number, since it is larger than the sum of its proper divisors (43642276713).

100012110999 is a wasteful number, since it uses less digits than its factorization.

100012110999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076.

The product of its (nonzero) digits is 1458, while the sum is 33.

The spelling of 100012110999 in words is "one hundred billion, twelve million, one hundred ten thousand, nine hundred ninety-nine".

Divisors: 1 3 31 37 93 111 127 131 381 393 1147 1747 3441 3937 4061 4699 4847 5241 11811 12183 14097 14541 16637 49911 54157 64639 145669 150257 162471 193917 221869 228857 437007 450771 515747 615569 665607 686571 1547241 1846707 2003809 6011427 6877939 7094567 8209153 8467709 19082639 20633817 21283701 24627459 25403127 29064839 57247917 87194517 254483743 262498979 763451229 787496937 901010009 1075399043 2703030027 3226197129 33337370333 100012110999