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231131232319 = 131913713949139
BaseRepresentation
bin1101011101000001111…
…1101011100000111111
3211002120221012010212211
43113100133223200333
512241324043413234
6254102532241251
722461435026161
oct3272037534077
9732527163784
10231131232319
118a027611879
1238965470227
1318a45b7bac0
14b288878931
15602b553164
hex35d07eb83f

231131232319 has 32 divisors (see below), whose sum is σ = 265827744000. Its totient is φ = 199199948544.

The previous prime is 231131232287. The next prime is 231131232359. The reversal of 231131232319 is 913232131132.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 231131232319 - 25 = 231131232287 is a prime.

It is a super-2 number, since 2×2311312323192 (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 (231131232359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4679052 + ... + 4728190.

It is an arithmetic number, because the mean of its divisors is an integer number (8307117000).

Almost surely, 2231131232319 is an apocalyptic number.

231131232319 is a deficient number, since it is larger than the sum of its proper divisors (34696511681).

231131232319 is a wasteful number, since it uses less digits than its factorization.

231131232319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49447.

The product of its digits is 5832, while the sum is 31.

The spelling of 231131232319 in words is "two hundred thirty-one billion, one hundred thirty-one million, two hundred thirty-two thousand, three hundred nineteen".

Divisors: 1 13 19 137 139 247 1781 1807 2603 2641 19043 33839 34333 49139 247559 361817 638807 933641 4703621 6732043 6830321 12137333 87516559 88794173 127908817 129776099 935753977 1662814621 1687089287 12164801701 17779325563 231131232319