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100616431 = 374363241
BaseRepresentation
bin1011111111101…
…00100011101111
321000022211210111
411333310203233
5201224211211
613552320451
72331140236
oct577644357
9230284714
10100616431
1151882683
1229843127
1317acb266
14d511b1d
158c77421
hex5ff48ef

100616431 has 8 divisors (see below), whose sum is σ = 105740624. Its totient is φ = 95618880.

The previous prime is 100616429. The next prime is 100616447. The reversal of 100616431 is 134616001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100616431 - 21 = 100616429 is a prime.

It is a super-2 number, since 2×1006164312 = 20247332374355522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100610431) 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 7 ways as a sum of consecutive naturals, for example, 30030 + ... + 33211.

It is an arithmetic number, because the mean of its divisors is an integer number (13217578).

Almost surely, 2100616431 is an apocalyptic number.

100616431 is a deficient number, since it is larger than the sum of its proper divisors (5124193).

100616431 is an equidigital number, since it uses as much as digits as its factorization.

100616431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63321.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 100616431 is about 10030.7741974386. The cubic root of 100616431 is about 465.1106700780.

The spelling of 100616431 in words is "one hundred million, six hundred sixteen thousand, four hundred thirty-one".

Divisors: 1 37 43 1591 63241 2339917 2719363 100616431