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93130000831 = 71729534791063
BaseRepresentation
bin101011010111011111…
…0110000100110111111
322220101101112020002001
41112232332300212333
53011212240011311
6110441111043131
76504563642260
oct1265676604677
9286341466061
1093130000831
113655050403a
12160710704a7
138a2242278a
1447168a4967
15265104e4c1
hex15aefb09bf

93130000831 has 64 divisors (see below), whose sum is σ = 119140761600. Its totient is φ = 70955329536.

The previous prime is 93130000823. The next prime is 93130000853. The reversal of 93130000831 is 13800003139.

93130000831 is a nontrivial binomial coefficient, being equal to C(431579, 2).

It is not a de Polignac number, because 93130000831 - 23 = 93130000823 is a prime.

It is a super-2 number, since 2×931300008312 (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 93130000831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93130000861) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87610006 + ... + 87611068.

It is an arithmetic number, because the mean of its divisors is an integer number (1861574400).

Almost surely, 293130000831 is an apocalyptic number.

93130000831 is the 431578-th triangular number.

93130000831 is the 143860-th centered nonagonal number.

93130000831 is a deficient number, since it is larger than the sum of its proper divisors (26010760769).

93130000831 is a wasteful number, since it uses less digits than its factorization.

93130000831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648.

The product of its (nonzero) digits is 1944, while the sum is 28.

The spelling of 93130000831 in words is "ninety-three billion, one hundred thirty million, eight hundred thirty-one", and thus it is an aban number.

Divisors: 1 7 17 29 53 119 203 371 479 493 901 1063 1537 3353 3451 6307 7441 8143 10759 13891 18071 25387 26129 30827 56339 57001 97237 126497 177709 182903 215789 236147 394373 431579 509177 524059 736223 957763 1633831 1653029 3021053 3564239 3668413 5153561 6704341 8656009 11436817 12515791 14766133 26986381 27775127 60592063 87610537 103362931 188904667 194425889 251024261 458768477 782605049 1757169827 3211379339 5478235343 13304285833 93130000831