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113142312 = 23333161277
BaseRepresentation
bin1101011111001…
…10101000101000
321212220020002000
412233212220220
5212431023222
615121011000
72542456653
oct657465050
9255806060
10113142312
1158958548
1231a83a60
131a59571a
141105289a
159ded9ac
hex6be6a28

113142312 has 128 divisors (see below), whose sum is σ = 330931200. Its totient is φ = 35769600.

The previous prime is 113142287. The next prime is 113142319. The reversal of 113142312 is 213241311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (113142319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 408318 + ... + 408594.

It is an arithmetic number, because the mean of its divisors is an integer number (2585400).

Almost surely, 2113142312 is an apocalyptic number.

113142312 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 113142312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165465600).

113142312 is an abundant number, since it is smaller than the sum of its proper divisors (217788888).

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

113142312 is a wasteful number, since it uses less digits than its factorization.

113142312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 374 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 113142312 is about 10636.8374999339. The cubic root of 113142312 is about 483.6616832944.

Adding to 113142312 its reverse (213241311), we get a palindrome (326383623).

The spelling of 113142312 in words is "one hundred thirteen million, one hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 61 62 72 93 108 122 124 183 186 216 244 248 277 279 366 372 488 549 554 558 732 744 831 837 1098 1108 1116 1464 1647 1662 1674 1891 2196 2216 2232 2493 3294 3324 3348 3782 4392 4986 5673 6588 6648 6696 7479 7564 8587 9972 11346 13176 14958 15128 16897 17019 17174 19944 22692 25761 29916 33794 34038 34348 45384 50691 51057 51522 59832 67588 68076 68696 77283 101382 102114 103044 135176 136152 152073 154566 202764 204228 206088 231849 304146 309132 405528 408456 456219 463698 523807 608292 618264 912438 927396 1047614 1216584 1571421 1824876 1854792 2095228 3142842 3649752 4190456 4714263 6285684 9428526 12571368 14142789 18857052 28285578 37714104 56571156 113142312