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100144374012 = 223210321269527
BaseRepresentation
bin101110101000100010…
…0011110000011111100
3100120111020022022011100
41131101010132003330
53120043424432022
6114001121253100
710143446063664
oct1352104360374
9316436268140
10100144374012
113951a985471
12174aa194190
13959c6bb957
144bc02c31a4
152911c571ac
hex175111e0fc

100144374012 has 36 divisors (see below), whose sum is σ = 253168189456. Its totient is φ = 33378099840.

The previous prime is 100144374007. The next prime is 100144374059. The reversal of 100144374012 is 210473441001.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1001443740122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 236793 + ... + 506319.

Almost surely, 2100144374012 is an apocalyptic number.

100144374012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100144374012 is an abundant number, since it is smaller than the sum of its proper divisors (153023815444).

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

100144374012 is a wasteful number, since it uses less digits than its factorization.

100144374012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279858 (or 279853 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 100144374012 in words is "one hundred billion, one hundred forty-four million, three hundred seventy-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 10321 20642 30963 41284 61926 92889 123852 185778 269527 371556 539054 808581 1078108 1617162 2425743 3234324 4851486 9702972 2781788167 5563576334 8345364501 11127152668 16690729002 25036093503 33381458004 50072187006 100144374012