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100124135 = 5177331607
BaseRepresentation
bin1011111011111…
…00010111100111
320222101211111022
411331330113213
5201112433020
613534001355
72324020046
oct575742747
9228354438
10100124135
1151576821
122964625b
1317988167
14d42455d
158bcb625
hex5f7c5e7

100124135 has 16 divisors (see below), whose sum is σ = 127469376. Its totient is φ = 75237888.

The previous prime is 100124117. The next prime is 100124149. The reversal of 100124135 is 531421001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100124135 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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, 61502 + ... + 63108.

It is an arithmetic number, because the mean of its divisors is an integer number (7966836).

Almost surely, 2100124135 is an apocalyptic number.

100124135 is a deficient number, since it is larger than the sum of its proper divisors (27345241).

100124135 is a wasteful number, since it uses less digits than its factorization.

100124135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 100124135 is about 10006.2048250073. The cubic root of 100124135 is about 464.3508651543.

Adding to 100124135 its reverse (531421001), we get a palindrome (631545136).

The spelling of 100124135 in words is "one hundred million, one hundred twenty-four thousand, one hundred thirty-five".

Divisors: 1 5 17 85 733 1607 3665 8035 12461 27319 62305 136595 1177931 5889655 20024827 100124135