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13023103010130 = 23251273169359539
BaseRepresentation
bin1011110110000010110101…
…1011011100010101010010
31201002222220102220001012100
42331200231123130111102
53201332303332311010
643410421514141230
72512613430061143
oct275405533342522
951088812801170
1013023103010130
1141710811571a4
121563b6aa21816
137360c51a3205
14330470489aca
15178b62a432c0
hexbd82d6dc552

13023103010130 has 96 divisors (see below), whose sum is σ = 34137546393600. Its totient is φ = 3444385545216.

The previous prime is 13023103010039. The next prime is 13023103010191. The reversal of 13023103010130 is 3101030132031.

It is a happy number.

13023103010130 is a `hidden beast` number, since 1 + 3 + 0 + 231 + 0 + 301 + 0 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 36041901 + ... + 36401439.

It is an arithmetic number, because the mean of its divisors is an integer number (355599441600).

Almost surely, 213023103010130 is an apocalyptic number.

13023103010130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13023103010130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17068773196800).

13023103010130 is an abundant number, since it is smaller than the sum of its proper divisors (21114443383470).

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

13023103010130 is a wasteful number, since it uses less digits than its factorization.

13023103010130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362848 (or 362845 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13023103010130 its reverse (3101030132031), we get a palindrome (16124133142161).

The spelling of 13023103010130 in words is "thirteen trillion, twenty-three billion, one hundred three million, ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 127 254 381 635 762 1143 1270 1905 2286 3169 3810 5715 6338 9507 11430 15845 19014 28521 31690 47535 57042 95070 142605 285210 359539 402463 719078 804926 1078617 1207389 1797695 2012315 2157234 2414778 3235851 3595390 3622167 4024630 5393085 6036945 6471702 7244334 10786170 12073890 16179255 18110835 32358510 36221670 45661453 91322906 136984359 228307265 273968718 410953077 456614530 684921795 821906154 1139379091 1369843590 2054765385 2278758182 3418137273 4109530770 5696895455 6836274546 10254411819 11393790910 17090686365 20508823638 34181372730 51272059095 102544118190 144701144557 289402289114 434103433671 723505722785 868206867342 1302310301013 1447011445570 2170517168355 2604620602026 4341034336710 6511551505065 13023103010130