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231322113 = 32112375741
BaseRepresentation
bin11011100100110…
…11001000000001
3121010021101021200
431302123020001
5433204301423
634542011413
75506130331
oct1562331001
9533241250
10231322113
11109636800
1265576b69
1338c02cb9
1422a170c1
1515494d43
hexdc9b201

231322113 has 36 divisors (see below), whose sum is σ = 377260884. Its totient is φ = 136382400.

The previous prime is 231322103. The next prime is 231322139. The reversal of 231322113 is 311223132.

231322113 is a `hidden beast` number, since 231 + 322 + 113 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 166487409 + 64834704 = 12903^2 + 8052^2 .

It is not a de Polignac number, because 231322113 - 24 = 231322097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (231322103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37423 + ... + 43163.

It is an arithmetic number, because the mean of its divisors is an integer number (10479469).

Almost surely, 2231322113 is an apocalyptic number.

It is an amenable number.

231322113 is a deficient number, since it is larger than the sum of its proper divisors (145938771).

231322113 is a wasteful number, since it uses less digits than its factorization.

231322113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5806 (or 5792 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 231322113 is about 15209.2772017608. The cubic root of 231322113 is about 613.8643089825.

Adding to 231322113 its reverse (311223132), we get a palindrome (542545245).

The spelling of 231322113 in words is "two hundred thirty-one million, three hundred twenty-two thousand, one hundred thirteen".

Divisors: 1 3 9 11 33 37 99 111 121 333 363 407 1089 1221 3663 4477 5741 13431 17223 40293 51669 63151 189453 212417 568359 637251 694661 1911753 2083983 2336587 6251949 7009761 21029283 25702457 77107371 231322113