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113011233312 = 25319108756999
BaseRepresentation
bin110100100111111111…
…1101001001000100000
3101210200221120110220210
41221033333221020200
53322421333431222
6123525554534120
711110344430215
oct1511777511040
9353627513823
10113011233312
1143a2299328a
1219a9b297340
13a870315473
1456810b1b0c
152e16659d0c
hex1a4ffe9220

113011233312 has 96 divisors (see below), whose sum is σ = 312560640000. Its totient is φ = 35654300928.

The previous prime is 113011233301. The next prime is 113011233329. The reversal of 113011233312 is 213332110311.

It is a happy number.

113011233312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1954189 + ... + 2011187.

It is an arithmetic number, because the mean of its divisors is an integer number (3255840000).

Almost surely, 2113011233312 is an apocalyptic number.

113011233312 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 113011233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156280320000).

113011233312 is an abundant number, since it is smaller than the sum of its proper divisors (199549406688).

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

113011233312 is a wasteful number, since it uses less digits than its factorization.

113011233312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58118 (or 58110 counting only the distinct ones).

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

Adding to 113011233312 its reverse (213332110311), we get a palindrome (326343343623).

The spelling of 113011233312 in words is "one hundred thirteen billion, eleven million, two hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1087 1824 2174 3261 4348 6522 8696 13044 17392 20653 26088 34784 41306 52176 56999 61959 82612 104352 113998 123918 165224 170997 227996 247836 330448 341994 455992 495672 660896 683988 911984 991344 1082981 1367976 1823968 1982688 2165962 2735952 3248943 4331924 5471904 6497886 8663848 12995772 17327696 25991544 34655392 51983088 61957913 103966176 123915826 185873739 247831652 371747478 495663304 743494956 991326608 1177200347 1486989912 1982653216 2354400694 2973979824 3531601041 4708801388 5947959648 7063202082 9417602776 14126404164 18835205552 28252808328 37670411104 56505616656 113011233312