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231301413 = 3472101577
BaseRepresentation
bin11011100100101…
…10000100100101
3121010020022220000
431302112010211
5433203121123
634541331513
75506013100
oct1562260445
9533208800
10231301413
111096221a2
1265566b99
1338bc6755
1422a0d737
151548db43
hexdc96125

231301413 has 60 divisors (see below), whose sum is σ = 406619532. Its totient is φ = 130636800.

The previous prime is 231301391. The next prime is 231301453. The reversal of 231301413 is 314103132.

It can be written as a sum of positive squares in 2 ways, for example, as 226713249 + 4588164 = 15057^2 + 2142^2 .

It is not a de Polignac number, because 231301413 - 210 = 231300389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231301453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 400581 + ... + 401157.

Almost surely, 2231301413 is an apocalyptic number.

It is an amenable number.

231301413 is a deficient number, since it is larger than the sum of its proper divisors (175318119).

231301413 is a wasteful number, since it uses less digits than its factorization.

231301413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 688 counting only the distinct ones).

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

The square root of 231301413 is about 15208.5966808250. The cubic root of 231301413 is about 613.8459977626.

Adding to 231301413 its reverse (314103132), we get a palindrome (545404545).

The spelling of 231301413 in words is "two hundred thirty-one million, three hundred one thousand, four hundred thirteen".

Divisors: 1 3 7 9 21 27 49 63 81 101 147 189 303 441 567 577 707 909 1323 1731 2121 2727 3969 4039 4949 5193 6363 8181 12117 14847 15579 19089 28273 36351 44541 46737 57267 58277 84819 109053 133623 174831 254457 327159 400869 407939 524493 763371 1223817 1573479 2290113 2855573 3671451 4720437 8566719 11014353 25700157 33043059 77100471 231301413