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231324133221 = 3229886299361
BaseRepresentation
bin1101011101101111111…
…1100010011101100101
3211010002101011112011200
43113123333202131211
512242222434230341
6254134022553113
722466266455366
oct3273377423545
9733071145150
10231324133221
118a116496105
12389b9b98799
1318a76b1ba4c
14b2a632db6d
15603d458db6
hex35dbfe2765

231324133221 has 12 divisors (see below), whose sum is σ = 345656751180. Its totient is φ = 148898292480.

The previous prime is 231324133219. The next prime is 231324133231. The reversal of 231324133221 is 122331423132.

231324133221 is a `hidden beast` number, since 2 + 3 + 1 + 324 + 1 + 332 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 157856030721 + 73468102500 = 397311^2 + 271050^2 .

It is not a de Polignac number, because 231324133221 - 21 = 231324133219 is a prime.

It is a super-2 number, since 2×2313241332212 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231324133231) 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, 443149420 + ... + 443149941.

It is an arithmetic number, because the mean of its divisors is an integer number (28804729265).

Almost surely, 2231324133221 is an apocalyptic number.

It is an amenable number.

231324133221 is a deficient number, since it is larger than the sum of its proper divisors (114332617959).

231324133221 is a wasteful number, since it uses less digits than its factorization.

231324133221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886299396 (or 886299393 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 231324133221 its reverse (122331423132), we get a palindrome (353655556353).

The spelling of 231324133221 in words is "two hundred thirty-one billion, three hundred twenty-four million, one hundred thirty-three thousand, two hundred twenty-one".

Divisors: 1 3 9 29 87 261 886299361 2658898083 7976694249 25702681469 77108044407 231324133221