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113213331 = 32711163367
BaseRepresentation
bin1101011111101…
…11111110010011
321220000211111100
412233313332103
5212440311311
615122315443
72543204010
oct657677623
9256024440
10113213331
11589a6940
1231ab8b83
131a5bbb4a
1411070707
159e14a56
hex6bf7f93

113213331 has 24 divisors (see below), whose sum is σ = 203883264. Its totient is φ = 58811760.

The previous prime is 113213323. The next prime is 113213357. The reversal of 113213331 is 133312311.

It is a happy number.

113213331 is a `hidden beast` number, since 11 + 321 + 3 + 331 = 666.

It is not a de Polignac number, because 113213331 - 23 = 113213323 is a prime.

It is a super-2 number, since 2×1132133312 = 25634516632231122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113213371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80991 + ... + 82376.

It is an arithmetic number, because the mean of its divisors is an integer number (8495136).

Almost surely, 2113213331 is an apocalyptic number.

113213331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113213331 is a deficient number, since it is larger than the sum of its proper divisors (90669933).

113213331 is a wasteful number, since it uses less digits than its factorization.

113213331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163391 (or 163388 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 113213331 is about 10640.1753275028. The cubic root of 113213331 is about 483.7628596626.

Adding to 113213331 its reverse (133312311), we get a palindrome (246525642).

It can be divided in two parts, 113 and 213331, that added together give a square (213444 = 4622).

The spelling of 113213331 in words is "one hundred thirteen million, two hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 163367 490101 1143569 1470303 1797037 3430707 5391111 10292121 12579259 16173333 37737777 113213331