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112230033032 = 23133782735267
BaseRepresentation
bin110100010000101101…
…1100110011010001000
3101201200111121101121002
41220201123212122020
53314321342024112
6123320251034132
711052110353325
oct1504133463210
9351614541532
10112230033032
1143661a22a17
121990173b948
13a777515590
14560943bb4c
152dbcc981c2
hex1a216e6688

112230033032 has 64 divisors (see below), whose sum is σ = 233031193920. Its totient is φ = 50336149248.

The previous prime is 112230033007. The next prime is 112230033073. The reversal of 112230033032 is 230330032211.

It is a super-2 number, since 2×1122300330322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112230032995 and 112230033013.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3164663 + ... + 3199929.

It is an arithmetic number, because the mean of its divisors is an integer number (3641112405).

Almost surely, 2112230033032 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 112230033032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116515596960).

112230033032 is an abundant number, since it is smaller than the sum of its proper divisors (120801160888).

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

112230033032 is a wasteful number, since it uses less digits than its factorization.

112230033032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36150 (or 36146 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 112230033032 its reverse (230330032211), we get a palindrome (342560065243).

The spelling of 112230033032 in words is "one hundred twelve billion, two hundred thirty million, thirty-three thousand, thirty-two".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 296 481 827 962 1654 1924 3308 3848 6616 10751 21502 30599 35267 43004 61198 70534 86008 122396 141068 244792 282136 397787 458471 795574 916942 1304879 1591148 1833884 2609758 3182296 3667768 5219516 10439032 16963427 29165809 33926854 58331618 67853708 116663236 135707416 233326472 379155517 758311034 1079134933 1516622068 2158269866 3033244136 4316539732 8633079464 14028754129 28057508258 56115016516 112230033032