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100356057 = 3313612731
BaseRepresentation
bin1011111101101…
…00111111011001
320222211121122000
411332310333121
5201142343212
613542551213
72326004154
oct576647731
9228747560
10100356057
1151714a9a
1229738509
1317a398a9
14d484c9b
158c251dc
hex5fb4fd9

100356057 has 16 divisors (see below), whose sum is σ = 148839360. Its totient is φ = 66830400.

The previous prime is 100356029. The next prime is 100356071. The reversal of 100356057 is 750653001.

It is a de Polignac number, because none of the positive numbers 2k-100356057 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 100356057.

It is not an unprimeable number, because it can be changed into a prime (100356007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35382 + ... + 38112.

It is an arithmetic number, because the mean of its divisors is an integer number (9302460).

Almost surely, 2100356057 is an apocalyptic number.

It is an amenable number.

100356057 is a deficient number, since it is larger than the sum of its proper divisors (48483303).

100356057 is a wasteful number, since it uses less digits than its factorization.

100356057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4101 (or 4095 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 100356057 is about 10017.7870310763. The cubic root of 100356057 is about 464.7091208891.

The spelling of 100356057 in words is "one hundred million, three hundred fifty-six thousand, fifty-seven".

Divisors: 1 3 9 27 1361 2731 4083 8193 12249 24579 36747 73737 3716891 11150673 33452019 100356057