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100164323 = 7176531289
BaseRepresentation
bin1011111100001…
…10001011100011
320222110212121202
411332012023203
5201120224243
613534511415
72324245160
oct576061343
9228425552
10100164323
11515a3a36
122966556b
13179a053c
14d435067
158bd84b8
hex5f862e3

100164323 has 16 divisors (see below), whose sum is σ = 121487040. Its totient is φ = 80618496.

The previous prime is 100164319. The next prime is 100164341. The reversal of 100164323 is 323461001.

It is not a de Polignac number, because 100164323 - 22 = 100164319 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100164295 and 100164304.

It is not an unprimeable number, because it can be changed into a prime (100164313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77063 + ... + 78351.

It is an arithmetic number, because the mean of its divisors is an integer number (7592940).

Almost surely, 2100164323 is an apocalyptic number.

100164323 is a deficient number, since it is larger than the sum of its proper divisors (21322717).

100164323 is a wasteful number, since it uses less digits than its factorization.

100164323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966.

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 100164323 is about 10008.2127775143. The cubic root of 100164323 is about 464.4129841640.

The spelling of 100164323 in words is "one hundred million, one hundred sixty-four thousand, three hundred twenty-three".

Divisors: 1 7 17 119 653 1289 4571 9023 11101 21913 77707 153391 841717 5892019 14309189 100164323