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113431221 = 3219763977
BaseRepresentation
bin1101100001011…
…01001010110101
321220102220101100
412300231022311
5213014244341
615131120313
72545102161
oct660551265
9256386340
10113431221
1159035612
1231ba3099
131a667087
14110c9ca1
159e593b6
hex6c2d2b5

113431221 has 12 divisors (see below), whose sum is σ = 164679372. Its totient is φ = 75235776.

The previous prime is 113431189. The next prime is 113431231. The reversal of 113431221 is 122134311.

113431221 is a `hidden beast` number, since 1 + 13 + 431 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 92910321 + 20520900 = 9639^2 + 4530^2 .

It is not a de Polignac number, because 113431221 - 25 = 113431189 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 113431194 and 113431203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113431231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30216 + ... + 33761.

It is an arithmetic number, because the mean of its divisors is an integer number (13723281).

Almost surely, 2113431221 is an apocalyptic number.

It is an amenable number.

113431221 is a deficient number, since it is larger than the sum of its proper divisors (51248151).

113431221 is a wasteful number, since it uses less digits than its factorization.

113431221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64180 (or 64177 counting only the distinct ones).

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

The square root of 113431221 is about 10650.4094287497. The cubic root of 113431221 is about 484.0730102391.

Adding to 113431221 its reverse (122134311), we get a palindrome (235565532).

The spelling of 113431221 in words is "one hundred thirteen million, four hundred thirty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 197 591 1773 63977 191931 575793 12603469 37810407 113431221