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113421132 = 223211377741
BaseRepresentation
bin1101100001010…
…10101101001100
321220102101112200
412300222231030
5213013434012
615131001500
72545030566
oct660525514
9256371480
10113421132
1159028a80
1231b99290
131a6625c6
14110c6336
159e563dc
hex6c2ab4c

113421132 has 72 divisors (see below), whose sum is σ = 321262032. Its totient is φ = 33436800.

The previous prime is 113421109. The next prime is 113421163. The reversal of 113421132 is 231124311.

113421132 is a `hidden beast` number, since 113 + 421 + 132 = 666.

113421132 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1134211322 = 25728706368322848, which contains 22 as substring.

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.

113421132 is strictly pandigital in base 9.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10782 + ... + 18522.

Almost surely, 2113421132 is an apocalyptic number.

113421132 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 113421132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160631016).

113421132 is an abundant number, since it is smaller than the sum of its proper divisors (207840900).

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

113421132 is a wasteful number, since it uses less digits than its factorization.

113421132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7799 (or 7794 counting only the distinct ones).

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

The square root of 113421132 is about 10649.9357744542. The cubic root of 113421132 is about 484.0586580547.

Adding to 113421132 its reverse (231124311), we get a palindrome (344545443).

The spelling of 113421132 in words is "one hundred thirteen million, four hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 1221 1332 1628 2442 3663 4884 7326 7741 14652 15482 23223 30964 46446 69669 85151 92892 139338 170302 255453 278676 286417 340604 510906 572834 766359 859251 1021812 1145668 1532718 1718502 2577753 3065436 3150587 3437004 5155506 6301174 9451761 10311012 12602348 18903522 28355283 37807044 56710566 113421132