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113330010112 = 2111123218723
BaseRepresentation
bin110100110001011111…
…1101011100000000000
3101211112011102000110221
41221202333223200000
53324044440310422
6124021343232424
711121265122514
oct1514277534000
9354464360427
10113330010112
1144076921a90
1219b69ba8714
13a8c13889a7
1456b1572144
152e346273c7
hex1a62feb800

113330010112 has 96 divisors (see below), whose sum is σ = 257954336640. Its totient is φ = 49273692160.

The previous prime is 113330010103. The next prime is 113330010113. The reversal of 113330010112 is 211010033311.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113330010113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 408783 + ... + 627505.

It is an arithmetic number, because the mean of its divisors is an integer number (2687024340).

Almost surely, 2113330010112 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 113330010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128977168320).

113330010112 is an abundant number, since it is smaller than the sum of its proper divisors (144624326528).

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

113330010112 is a wasteful number, since it uses less digits than its factorization.

113330010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218779 (or 218759 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 113330010112 its reverse (211010033311), we get a palindrome (324340043423).

The spelling of 113330010112 in words is "one hundred thirteen billion, three hundred thirty million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 256 352 368 506 512 704 736 1012 1024 1408 1472 2024 2048 2816 2944 4048 5632 5888 8096 11264 11776 16192 22528 23552 32384 47104 64768 129536 218723 259072 437446 518144 874892 1749784 2405953 3499568 4811906 5030629 6999136 9623812 10061258 13998272 19247624 20122516 27996544 38495248 40245032 55336919 55993088 76990496 80490064 110673838 111986176 153980992 160980128 221347676 223972352 307961984 321960256 442695352 447944704 615923968 643920512 885390704 1231847936 1287841024 1770781408 2463695872 2575682048 3541562816 4927391744 5151364096 7083125632 10302728192 14166251264 28332502528 56665005056 113330010112