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104042058120 = 233357112132673
BaseRepresentation
bin110000011100101100…
…0111101000110001000
3100221112212111011121000
41200321120331012020
53201034231324440
6115443554215000
710342154621340
oct1407130750610
9327485434530
10104042058120
1140140036200
12181b7584460
139a71068700
14506dc01d20
152a8e01b730
hex183963d188

104042058120 has 1152 divisors, whose sum is σ = 472449196800. Its totient is φ = 19926466560.

The previous prime is 104042058091. The next prime is 104042058137. The reversal of 104042058120 is 21850240401.

104042058120 is a `hidden beast` number, since 1 + 0 + 40 + 4 + 20 + 581 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 154594104 + ... + 154594776.

It is an arithmetic number, because the mean of its divisors is an integer number (410112150).

Almost surely, 2104042058120 is an apocalyptic number.

104042058120 is a gapful number since it is divisible by the number (10) 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 104042058120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236224598400).

104042058120 is an abundant number, since it is smaller than the sum of its proper divisors (368407138680).

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

104042058120 is a wasteful number, since it uses less digits than its factorization.

104042058120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 104042058120 its reverse (21850240401), we get a palindrome (125892298521).

The spelling of 104042058120 in words is "one hundred four billion, forty-two million, fifty-eight thousand, one hundred twenty".