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93131200331 = 1341682325609
BaseRepresentation
bin101011010111100001…
…1010101011101001011
322220101110210011110222
41112233003111131023
53011213041402311
6110441152500255
76504610066331
oct1265703253513
9286343704428
1093131200331
1136551153264
121607154a68b
138a22752740
144716ad7b51
1526511d9adb
hex15af0d574b

93131200331 has 16 divisors (see below), whose sum is σ = 102760432320. Its totient is φ = 83854932480.

The previous prime is 93131200321. The next prime is 93131200361. The reversal of 93131200331 is 13300213139.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-93131200331 is a prime.

It is a super-2 number, since 2×931312003312 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 93131200331.

It is not an unprimeable number, because it can be changed into a prime (93131200321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3623855 + ... + 3649463.

It is an arithmetic number, because the mean of its divisors is an integer number (6422527020).

Almost surely, 293131200331 is an apocalyptic number.

93131200331 is a deficient number, since it is larger than the sum of its proper divisors (9629231989).

93131200331 is a wasteful number, since it uses less digits than its factorization.

93131200331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32486.

The product of its (nonzero) digits is 1458, while the sum is 26.

The spelling of 93131200331 in words is "ninety-three billion, one hundred thirty-one million, two hundred thousand, three hundred thirty-one".

Divisors: 1 13 41 533 6823 25609 88699 279743 332917 1049969 3636659 13649597 174730207 2271492691 7163938487 93131200331