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113012112 = 24331531433
BaseRepresentation
bin1101011110001…
…10110110010000
321212122121110210
412233012312100
5212412341422
615114124120
72541405243
oct657066620
9255577423
10113012112
1158879744
1231a20640
131a54b395
141101b25a
159dc510c
hex6bc6d90

113012112 has 80 divisors (see below), whose sum is σ = 307266048. Its totient is φ = 35742720.

The previous prime is 113012099. The next prime is 113012117. The reversal of 113012112 is 211210311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (113012117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78148 + ... + 79580.

Almost surely, 2113012112 is an apocalyptic number.

113012112 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 113012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153633024).

113012112 is an abundant number, since it is smaller than the sum of its proper divisors (194253936).

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

113012112 is a wasteful number, since it uses less digits than its factorization.

113012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 113012112 is about 10630.7154980274. The cubic root of 113012112 is about 483.4760854071.

Adding to 113012112 its reverse (211210311), we get a palindrome (324222423).

The spelling of 113012112 in words is "one hundred thirteen million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 53 62 93 106 124 159 186 212 248 318 372 424 496 636 744 848 1272 1433 1488 1643 2544 2866 3286 4299 4929 5732 6572 8598 9858 11464 13144 17196 19716 22928 26288 34392 39432 44423 68784 75949 78864 88846 133269 151898 177692 227847 266538 303796 355384 455694 533076 607592 710768 911388 1066152 1215184 1822776 2132304 2354419 3645552 4708838 7063257 9417676 14126514 18835352 28253028 37670704 56506056 113012112