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100992662010 = 23256118395749
BaseRepresentation
bin101111000001110100…
…0011011100111111010
3100122200100111210112100
41132003220123213322
53123313110141020
6114221223124230
710203456314562
oct1360350334772
9318610453470
10100992662010
11399157a7829
12176a62a3676
1396a637a906
144c60c1bda2
15296146ba90
hex1783a1b9fa

100992662010 has 48 divisors (see below), whose sum is σ = 266885541000. Its totient is φ = 26489877120.

The previous prime is 100992661853. The next prime is 100992662027. The reversal of 100992662010 is 10266299001.

100992662010 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 9 + 26 + 620 + 1 + 0 = 666.

100992662010 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 49830293529 + 51162368481 = 223227^2 + 226191^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9192385 + ... + 9203364.

Almost surely, 2100992662010 is an apocalyptic number.

100992662010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100992662010 is an abundant number, since it is smaller than the sum of its proper divisors (165892878990).

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

100992662010 is a wasteful number, since it uses less digits than its factorization.

100992662010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18395823 (or 18395820 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 100992662010 in words is "one hundred billion, nine hundred ninety-two million, six hundred sixty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1830 2745 5490 18395749 36791498 55187247 91978745 110374494 165561741 183957490 275936235 331123482 551872470 827808705 1122140689 1655617410 2244281378 3366422067 5610703445 6732844134 10099266201 11221406890 16832110335 20198532402 33664220670 50496331005 100992662010