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104131419 = 37219231621
BaseRepresentation
bin1100011010011…
…10101101011011
321020221102110020
412031032231123
5203124201134
614155521523
72403050100
oct615165533
9236842406
10104131419
1153863527
122aa592a3
131875c132
14db88aa7
15921db49
hex634eb5b

104131419 has 48 divisors (see below), whose sum is σ = 177511680. Its totient is φ = 53887680.

The previous prime is 104131399. The next prime is 104131427. The reversal of 104131419 is 914131401.

It is not a de Polignac number, because 104131419 - 212 = 104127323 is a prime.

It is a super-2 number, since 2×1041314192 = 21686704845907122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104131429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63429 + ... + 65049.

It is an arithmetic number, because the mean of its divisors is an integer number (3698160).

Almost surely, 2104131419 is an apocalyptic number.

104131419 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

104131419 is a deficient number, since it is larger than the sum of its proper divisors (73380261).

104131419 is a wasteful number, since it uses less digits than its factorization.

104131419 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 104131419 is about 10204.4803395371. The cubic root of 104131419 is about 470.4649375346.

The spelling of 104131419 in words is "one hundred four million, one hundred thirty-one thousand, four hundred nineteen".

Divisors: 1 3 7 19 21 23 49 57 69 133 147 161 399 437 483 931 1127 1311 1621 2793 3059 3381 4863 9177 11347 21413 30799 34041 37283 64239 79429 92397 111849 215593 238287 260981 646779 708377 782943 1509151 1826867 2125131 4527453 4958639 5480601 14875917 34710473 104131419