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104042112 = 273436301
BaseRepresentation
bin1100011001110…
…00111010000000
321020202212221120
412030320322000
5203113321422
614153552240
72402225526
oct614707200
9236685846
10104042112
1153802419
122aa15680
131872a5a5
14db64316
15920245c
hex6338e80

104042112 has 64 divisors (see below), whose sum is σ = 282833760. Its totient is φ = 33868800.

The previous prime is 104042063. The next prime is 104042123. The reversal of 104042112 is 211240401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1040421122 = 21649522138841088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104042091 and 104042100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13362 + ... + 19662.

Almost surely, 2104042112 is an apocalyptic number.

104042112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141416880).

104042112 is an abundant number, since it is smaller than the sum of its proper divisors (178791648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104042112 is an equidigital number, since it uses as much as digits as its factorization.

104042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6361 (or 6349 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 104042112 is about 10200.1035288864. The cubic root of 104042112 is about 470.3304029572.

Adding to 104042112 its reverse (211240401), we get a palindrome (315282513).

The spelling of 104042112 in words is "one hundred four million, forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 258 344 384 516 688 1032 1376 2064 2752 4128 5504 6301 8256 12602 16512 18903 25204 37806 50408 75612 100816 151224 201632 270943 302448 403264 541886 604896 806528 812829 1083772 1209792 1625658 2167544 2419584 3251316 4335088 6502632 8670176 13005264 17340352 26010528 34680704 52021056 104042112