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100083357 = 3411112327
BaseRepresentation
bin1011111011100…
…10011010011101
320222022202120000
411331302122131
5201110131412
613533044513
72323460133
oct575623235
9228282500
10100083357
1151549120
1229626739
131797272a
14d413753
158bbe4dc
hex5f7269d

100083357 has 20 divisors (see below), whose sum is σ = 163100256. Its totient is φ = 60656040.

The previous prime is 100083353. The next prime is 100083391. The reversal of 100083357 is 753380001.

It is not a de Polignac number, because 100083357 - 22 = 100083353 is a prime.

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 100083357.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100083353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55273 + ... + 57054.

Almost surely, 2100083357 is an apocalyptic number.

It is an amenable number.

100083357 is a deficient number, since it is larger than the sum of its proper divisors (63016899).

100083357 is a wasteful number, since it uses less digits than its factorization.

100083357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112350 (or 112341 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 100083357 is about 10004.1669818131. The cubic root of 100083357 is about 464.2878171829.

The spelling of 100083357 in words is "one hundred million, eighty-three thousand, three hundred fifty-seven".

Divisors: 1 3 9 11 27 33 81 99 297 891 112327 336981 1010943 1235597 3032829 3706791 9098487 11120373 33361119 100083357