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113301032 = 231331113311
BaseRepresentation
bin1101100000011…
…01011000101000
321220012021210112
412300031120220
5213001113112
615124233452
72544020465
oct660153050
9256167715
10113301032
1158a56819
1231b3b888
131a61ca40
141109466c
159e30a22
hex6c0d628

113301032 has 64 divisors (see below), whose sum is σ = 239016960. Its totient is φ = 49996800.

The previous prime is 113301029. The next prime is 113301053. The reversal of 113301032 is 230103311.

It is a junction number, because it is equal to n+sod(n) for n = 113300998 and 113301016.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 364157 + ... + 364467.

It is an arithmetic number, because the mean of its divisors is an integer number (3734640).

Almost surely, 2113301032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113301032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119508480).

113301032 is an abundant number, since it is smaller than the sum of its proper divisors (125715928).

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

113301032 is a wasteful number, since it uses less digits than its factorization.

113301032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 113301032 is about 10644.2957493674. The cubic root of 113301032 is about 483.8877434715.

Adding to 113301032 its reverse (230103311), we get a palindrome (343404343).

The spelling of 113301032 in words is "one hundred thirteen million, three hundred one thousand, thirty-two".

Divisors: 1 2 4 8 13 26 31 52 62 104 113 124 226 248 311 403 452 622 806 904 1244 1469 1612 2488 2938 3224 3503 4043 5876 7006 8086 9641 11752 14012 16172 19282 28024 32344 35143 38564 45539 70286 77128 91078 125333 140572 182156 250666 281144 364312 456859 501332 913718 1002664 1089433 1827436 2178866 3654872 4357732 8715464 14162629 28325258 56650516 113301032