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113122816704 = 263453411727
BaseRepresentation
bin110100101011010100…
…1010011001011000000
3101210222201112111120000
41221112221103023000
53323133420113304
6123545022320000
711113201035222
oct1512651231300
9353881474500
10113122816704
1143a7a976567
1219b10729000
13a88a483441
145691c3a412
152e2134b939
hex1a56a532c0

113122816704 has 140 divisors (see below), whose sum is σ = 341659305504. Its totient is φ = 36996051456.

The previous prime is 113122816699. The next prime is 113122816711. The reversal of 113122816704 is 407618221311.

113122816704 is a `hidden beast` number, since 1 + 1 + 312 + 281 + 67 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68889 + ... + 480615.

Almost surely, 2113122816704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113122816704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170829652752).

113122816704 is an abundant number, since it is smaller than the sum of its proper divisors (228536488800).

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

113122816704 is an equidigital number, since it uses as much as digits as its factorization.

113122816704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411804 (or 411785 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 113122816704 in words is "one hundred thirteen billion, one hundred twenty-two million, eight hundred sixteen thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 81 96 106 108 144 159 162 192 212 216 288 318 324 424 432 477 576 636 648 848 864 954 1272 1296 1431 1696 1728 1908 2544 2592 2862 3392 3816 4293 5088 5184 5724 7632 8586 10176 11448 15264 17172 22896 30528 34344 45792 68688 91584 137376 274752 411727 823454 1235181 1646908 2470362 3293816 3705543 4940724 6587632 7411086 9881448 11116629 13175264 14822172 19762896 21821531 22233258 26350528 29644344 33349887 39525792 43643062 44466516 59288688 65464593 66699774 79051584 87286124 88933032 118577376 130929186 133399548 174572248 177866064 196393779 237154752 261858372 266799096 349144496 355732128 392787558 523716744 533598192 589181337 698288992 711464256 785575116 1047433488 1067196384 1178362674 1396577984 1571150232 1767544011 2094866976 2134392768 2356725348 3142300464 3535088022 4189733952 4713450696 6284600928 7070176044 9426901392 12569201856 14140352088 18853802784 28280704176 37707605568 56561408352 113122816704