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113313103112 = 2311101113257439
BaseRepresentation
bin110100110000111111…
…1001011110100001000
3101211110222121001102202
41221201333023310020
53324031123244422
6124015541015332
711121001325126
oct1514177136410
9354428531382
10113313103112
1144068324560
1219b643b4548
13a8baa19351
1456ad210916
152e32dd7b92
hex1a61fcbd08

113313103112 has 128 divisors (see below), whose sum is σ = 237601900800. Its totient is φ = 50233344000.

The previous prime is 113313103103. The next prime is 113313103171. The reversal of 113313103112 is 211301313311.

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 31 ways as a sum of consecutive naturals, for example, 258116189 + ... + 258116627.

It is an arithmetic number, because the mean of its divisors is an integer number (1856264850).

Almost surely, 2113313103112 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 113313103112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118800950400).

113313103112 is an abundant number, since it is smaller than the sum of its proper divisors (124288797688).

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

113313103112 is a wasteful number, since it uses less digits than its factorization.

113313103112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 113313103112 its reverse (211301313311), we get a palindrome (324614416423).

The spelling of 113313103112 in words is "one hundred thirteen billion, three hundred thirteen million, one hundred three thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 101 113 202 226 257 404 439 452 514 808 878 904 1028 1111 1243 1756 2056 2222 2486 2827 3512 4444 4829 4972 5654 8888 9658 9944 11308 11413 19316 22616 22826 25957 29041 38632 44339 45652 49607 51914 58082 88678 91304 99214 103828 112823 116164 125543 177356 198428 207656 225646 232328 251086 285527 319451 354712 396856 451292 487729 502172 545677 571054 638902 902584 975458 1004344 1091354 1142108 1241053 1277804 1950916 2182708 2284216 2482106 2555608 2933141 3901832 4365416 4964212 5010307 5866282 9928424 10020614 11395123 11732564 12748999 20041228 22790246 23465128 25497998 32264551 40082456 45580492 50995996 55113377 64529102 91160984 101991992 110226754 125346353 129058204 140238989 220453508 250692706 258116408 280477978 440907016 501385412 560955956 1002770824 1121911912 1287648899 2575297798 5150595596 10301191192 14164137889 28328275778 56656551556 113313103112