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113021313312 = 25323103496963
BaseRepresentation
bin110100101000010011…
…0000110000100100000
3101210201122112121002010
41221100212012010200
53322431424011222
6123530554552520
711110526212035
oct1512046060440
9353648477063
10113021313312
1143a28648566
1219aa2738740
13a87243456b
14568257738c
152e1749b80c
hex1a50986120

113021313312 has 96 divisors (see below), whose sum is σ = 312586380288. Its totient is φ = 35685847296.

The previous prime is 113021313281. The next prime is 113021313319. The reversal of 113021313312 is 213313120311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (113021313319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21058 + ... + 475905.

It is an arithmetic number, because the mean of its divisors is an integer number (3256108128).

Almost surely, 2113021313312 is an apocalyptic number.

113021313312 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 113021313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156293190144).

113021313312 is an abundant number, since it is smaller than the sum of its proper divisors (199565066976).

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

113021313312 is a wasteful number, since it uses less digits than its factorization.

113021313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497102 (or 497094 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 113021313312 its reverse (213313120311), we get a palindrome (326334433623).

The spelling of 113021313312 in words is "one hundred thirteen billion, twenty-one million, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 103 138 184 206 276 309 368 412 552 618 736 824 1104 1236 1648 2208 2369 2472 3296 4738 4944 7107 9476 9888 14214 18952 28428 37904 56856 75808 113712 227424 496963 993926 1490889 1987852 2981778 3975704 5963556 7951408 11430149 11927112 15902816 22860298 23854224 34290447 45720596 47708448 51187189 68580894 91441192 102374378 137161788 153561567 182882384 204748756 274323576 307123134 365764768 409497512 548647152 614246268 818995024 1097294304 1177305347 1228492536 1637990048 2354610694 2456985072 3531916041 4709221388 4913970144 7063832082 9418442776 14127664164 18836885552 28255328328 37673771104 56510656656 113021313312