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13021313000202 = 23213792712599217
BaseRepresentation
bin1011110101111100001010…
…1111000110001100001010
31201002211021200200010012100
42331133002233012030022
53201320122112001302
643405524132054230
72512521163202253
oct275370257061412
951084250603170
1013021313000202
1141703427a6251
12156374b464376
13735b9b3a0340
14330340853b2a
15178aaa80ed1c
hexbd7c2bc630a

13021313000202 has 96 divisors (see below), whose sum is σ = 30881205089280. Its totient is φ = 3941243205120.

The previous prime is 13021313000183. The next prime is 13021313000203. The reversal of 13021313000202 is 20200031312031.

13021313000202 is a `hidden beast` number, since 1 + 30 + 2 + 131 + 300 + 0 + 202 = 666.

It is a super-2 number, since 2×130213130002022 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13021313000203) 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 47 ways as a sum of consecutive naturals, for example, 3710098 + ... + 6309314.

It is an arithmetic number, because the mean of its divisors is an integer number (321679219680).

Almost surely, 213021313000202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13021313000202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15440602544640).

13021313000202 is an abundant number, since it is smaller than the sum of its proper divisors (17859892089078).

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

13021313000202 is a wasteful number, since it uses less digits than its factorization.

13021313000202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599588 (or 2599585 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13021313000202 its reverse (20200031312031), we get a palindrome (33221344312233).

The spelling of 13021313000202 in words is "thirteen trillion, twenty-one billion, three hundred thirteen million, two hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 9 13 18 26 39 78 79 117 158 234 237 271 474 542 711 813 1027 1422 1626 2054 2439 3081 3523 4878 6162 7046 9243 10569 18486 21138 21409 31707 42818 63414 64227 128454 192681 278317 385362 556634 834951 1669902 2504853 2599217 5009706 5198434 7797651 15595302 23392953 33789821 46785906 67579642 101369463 202738926 205338143 304108389 410676286 608216778 616014429 704387807 1232028858 1408775614 1848043287 2113163421 2669395859 3696086574 4226326842 5338791718 6339490263 8008187577 9157041491 12678980526 16016375154 18314082982 24024562731 27471124473 48049125462 54942248946 55646636753 82413373419 111293273506 164826746838 166939910259 333879820518 500819730777 723406277789 1001639461554 1446812555578 2170218833367 4340437666734 6510656500101 13021313000202