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104161431 = 31117832237
BaseRepresentation
bin1100011010101…
…10000010010111
321020222221121210
412031112002113
5203131131211
614200312503
72403233433
oct615260227
9236887553
10104161431
1153884030
122aa72733
131876c9aa
14db959c3
1592279a6
hex6356097

104161431 has 32 divisors (see below), whose sum is σ = 162425088. Its totient is φ = 58672640.

The previous prime is 104161429. The next prime is 104161433. The reversal of 104161431 is 134161401.

It is an interprime number because it is at equal distance from previous prime (104161429) and next prime (104161433).

It is a cyclic number.

It is not a de Polignac number, because 104161431 - 21 = 104161429 is a prime.

It is a super-2 number, since 2×1041614312 = 21699207415935522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104161398 and 104161407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104161433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45445 + ... + 47681.

It is an arithmetic number, because the mean of its divisors is an integer number (5075784).

Almost surely, 2104161431 is an apocalyptic number.

104161431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

104161431 is a deficient number, since it is larger than the sum of its proper divisors (58263657).

104161431 is a wasteful number, since it uses less digits than its factorization.

104161431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 104161431 is about 10205.9507641376. The cubic root of 104161431 is about 470.5101311869.

The spelling of 104161431 in words is "one hundred four million, one hundred sixty-one thousand, four hundred thirty-one".

Divisors: 1 3 11 17 33 51 83 187 249 561 913 1411 2237 2739 4233 6711 15521 24607 38029 46563 73821 114087 185671 418319 557013 1254957 2042381 3156407 6127143 9469221 34720477 104161431