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113234112 = 2637809
BaseRepresentation
bin1101011111111…
…01000011000000
321220001220000000
412233331003000
5212441442422
615123000000
72543321415
oct657750300
9256056000
10113234112
1158a10512
1231b09000
131a5c8444
141107810c
159e1acac
hex6bfd0c0

113234112 has 112 divisors (see below), whose sum is σ = 337413600. Its totient is φ = 37698048.

The previous prime is 113234111. The next prime is 113234113. The reversal of 113234112 is 211432311.

It is an interprime number because it is at equal distance from previous prime (113234111) and next prime (113234113).

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (113234111) 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, 139564 + ... + 140372.

Almost surely, 2113234112 is an apocalyptic number.

113234112 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 113234112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168706800).

113234112 is an abundant number, since it is smaller than the sum of its proper divisors (224179488).

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

113234112 is an frugal number, since it uses more digits than its factorization.

113234112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 814 counting only the distinct ones).

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

The square root of 113234112 is about 10641.1518173551. The cubic root of 113234112 is about 483.7924570632.

Adding to 113234112 its reverse (211432311), we get a palindrome (324666423).

The spelling of 113234112 in words is "one hundred thirteen million, two hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 809 864 972 1296 1458 1618 1728 1944 2187 2427 2592 2916 3236 3888 4374 4854 5184 5832 6472 7281 7776 8748 9708 11664 12944 14562 15552 17496 19416 21843 23328 25888 29124 34992 38832 43686 46656 51776 58248 65529 69984 77664 87372 116496 131058 139968 155328 174744 196587 232992 262116 349488 393174 465984 524232 589761 698976 786348 1048464 1179522 1397952 1572696 1769283 2096928 2359044 3145392 3538566 4193856 4718088 6290784 7077132 9436176 12581568 14154264 18872352 28308528 37744704 56617056 113234112