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10116115982370 = 234512489032077
BaseRepresentation
bin1001001100110101011101…
…1111111110100000100010
31022211002110111221022210000
42103031113133332200202
52311220301142413440
633303140213320430
72062602533042166
oct223152737764042
938732414838700
1010116115982370
113250247822212
1211746a2936116
13584c3a76c4b8
1426d8a06b2ca6
15128223e33730
hex933577fe822

10116115982370 has 40 divisors (see below), whose sum is σ = 27201111865884. Its totient is φ = 2697630928416.

The previous prime is 10116115982353. The next prime is 10116115982419. The reversal of 10116115982370 is 7328951161101.

10116115982370 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 611 + 5 + 9 + 8 + 23 + 7 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8888334531561 + 1227781450809 = 2981331^2 + 1108053^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6244515229 + ... + 6244516848.

Almost surely, 210116115982370 is an apocalyptic number.

10116115982370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10116115982370 is an abundant number, since it is smaller than the sum of its proper divisors (17084995883514).

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

10116115982370 is a wasteful number, since it uses less digits than its factorization.

10116115982370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12489032096 (or 12489032087 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 10116115982370 in words is "ten trillion, one hundred sixteen billion, one hundred fifteen million, nine hundred eighty-two thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 12489032077 24978064154 37467096231 62445160385 74934192462 112401288693 124890320770 187335481155 224802577386 337203866079 374670962310 562006443465 674407732158 1011611598237 1124012886930 1686019330395 2023223196474 3372038660790 5058057991185 10116115982370