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113301312 = 2632325657
BaseRepresentation
bin1101100000011…
…01011101000000
321220012022011220
412300031131000
5213001120222
615124235040
72544021345
oct660153500
9256168156
10113301312
1158a56a53
1231b3ba80
131a61cbc7
14110947cc
159e30b5c
hex6c0d740

113301312 has 56 divisors (see below), whose sum is σ = 312822336. Its totient is φ = 36123648.

The previous prime is 113301301. The next prime is 113301319. The reversal of 113301312 is 213103311.

It is a junction number, because it is equal to n+sod(n) for n = 113301291 and 113301300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113301319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8413 + ... + 17244.

Almost surely, 2113301312 is an apocalyptic number.

113301312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113301312 is an abundant number, since it is smaller than the sum of its proper divisors (199521024).

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

113301312 is a wasteful number, since it uses less digits than its factorization.

113301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25695 (or 25685 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 113301312 is about 10644.3089019438. The cubic root of 113301312 is about 483.8881420806. Note that the first 3 decimals are identical.

Adding to 113301312 its reverse (213103311), we get a palindrome (326404623).

The spelling of 113301312 in words is "one hundred thirteen million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 4416 25657 51314 76971 102628 153942 205256 307884 410512 590111 615768 821024 1180222 1231536 1642048 1770333 2360444 2463072 3540666 4720888 4926144 7081332 9441776 14162664 18883552 28325328 37767104 56650656 113301312