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102010131000310 = 251323213071134929
BaseRepresentation
bin10111001100011100010101…
…100111110010101111110110
3111101012001222102102112000111
4113030130111213302233312
5101332313222014002220
61000542450210133234
730325663066550341
oct2714342547625766
9441161872375014
10102010131000310
112a55a287607495
12b5362b658121a
1344bc68b573650
141b29460da5458
15bbd7b6dd515a
hex5cc7159f2bf6

102010131000310 has 96 divisors (see below), whose sum is σ = 206872371044640. Its totient is φ = 36000061430784.

The previous prime is 102010131000307. The next prime is 102010131000311. The reversal of 102010131000310 is 13000131010201.

It is a super-2 number, since 2×1020101310003102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102010131000311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89314926 + ... + 90449854.

It is an arithmetic number, because the mean of its divisors is an integer number (2154920531715).

Almost surely, 2102010131000310 is an apocalyptic number.

102010131000310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102010131000310 is an abundant number, since it is smaller than the sum of its proper divisors (104862240044330).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102010131000310 is a wasteful number, since it uses less digits than its factorization.

102010131000310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136302 (or 1136279 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 102010131000310 its reverse (13000131010201), we get a palindrome (115010262010511).

The spelling of 102010131000310 in words is "one hundred two trillion, ten billion, one hundred thirty-one million, three hundred ten", and thus it is an aban number.

Divisors: 1 2 5 10 13 23 26 46 65 115 130 230 299 529 598 1058 1307 1495 2614 2645 2990 5290 6535 6877 13070 13754 16991 30061 33982 34385 60122 68770 84955 150305 169910 300610 390793 691403 781586 1134929 1382806 1953965 2269858 3457015 3907930 5674645 6914030 8988239 11349290 14754077 17976478 26103367 29508154 44941195 52206734 73770385 89882390 130516835 147540770 261033670 339343771 600377441 678687542 1200754882 1483352203 1696718855 2966704406 3001887205 3393437710 6003774410 7416761015 7804906733 14833522030 15609813466 19283578639 34117100669 38567157278 39024533665 68234201338 78049067330 96417893195 170585503345 192835786390 341171006690 443522308697 784693315387 887044617394 1569386630774 2217611543485 3923466576935 4435223086970 7846933153870 10201013100031 20402026200062 51005065500155 102010131000310