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100456606323240 = 23354819317370539
BaseRepresentation
bin10110110101110101100000…
…010101011101001000101000
3111011200120001121200001200220
4112311311200111131020220
5101131340112204320430
6553353043340530040
730105515231640516
oct2665654025351050
9434616047601626
10100456606323240
112a010453409aa2
12b3251b6250920
13440902c0c07bb
141ab41a8c654b6
15b93190a12110
hex5b5d6055d228

100456606323240 has 64 divisors (see below), whose sum is σ = 301376089713600. Its totient is φ = 26787870953472.

The previous prime is 100456606323233. The next prime is 100456606323323. The reversal of 100456606323240 is 42323606654001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100456606323192 and 100456606323201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2902110 + ... + 14468429.

It is an arithmetic number, because the mean of its divisors is an integer number (4709001401775).

Almost surely, 2100456606323240 is an apocalyptic number.

100456606323240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100456606323240 is an abundant number, since it is smaller than the sum of its proper divisors (200919483390360).

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

100456606323240 is a wasteful number, since it uses less digits than its factorization.

100456606323240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17418746 (or 17418742 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 100456606323240 in words is "one hundred trillion, four hundred fifty-six billion, six hundred six million, three hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 48193 96386 144579 192772 240965 289158 385544 481930 578316 722895 963860 1156632 1445790 1927720 2891580 5783160 17370539 34741078 52111617 69482156 86852695 104223234 138964312 173705390 208446468 260558085 347410780 416892936 521116170 694821560 1042232340 2084464680 837138386027 1674276772054 2511415158081 3348553544108 4185691930135 5022830316162 6697107088216 8371383860270 10045660632324 12557075790405 16742767720540 20091321264648 25114151580810 33485535441080 50228303161620 100456606323240