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113021102112 = 2537937148331
BaseRepresentation
bin110100101000010010…
…1010010100000100000
3101210201122010212100220
41221100211102200200
53322431400231422
6123530550243040
711110524342222
oct1512045224040
9353648125326
10113021102112
1143a28513916
1219aa2656480
13a87238c3a9
145682520412
152e17458e5c
hex1a50952820

113021102112 has 48 divisors (see below), whose sum is σ = 296719772832. Its totient is φ = 37668700160.

The previous prime is 113021102111. The next prime is 113021102119. The reversal of 113021102112 is 211201120311.

113021102112 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 (48).

It is a super-2 number, since 2×1130211021122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113021102091 and 113021102100.

It is not an unprimeable number, because it can be changed into a prime (113021102111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 687787 + ... + 836117.

It is an arithmetic number, because the mean of its divisors is an integer number (6181661934).

Almost surely, 2113021102112 is an apocalyptic number.

113021102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113021102112 is an abundant number, since it is smaller than the sum of its proper divisors (183698670720).

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

113021102112 is a wasteful number, since it uses less digits than its factorization.

113021102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156281 (or 156273 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 113021102112 its reverse (211201120311), we get a palindrome (324222222423).

The spelling of 113021102112 in words is "one hundred thirteen billion, twenty-one million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 7937 15874 23811 31748 47622 63496 95244 126992 148331 190488 253984 296662 380976 444993 593324 761952 889986 1186648 1779972 2373296 3559944 4746592 7119888 14239776 1177303147 2354606294 3531909441 4709212588 7063818882 9418425176 14127637764 18836850352 28255275528 37673700704 56510551056 113021102112