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13317390801 = 321121322692
BaseRepresentation
bin11000110011100011…
…10100000111010001
31021101010000112210100
430121301310013101
5204233223001201
610041245523013
7651005645151
oct143161640721
937333015710
1013317390801
115714357900
1226b7b73469
13134307b400
14904988761
1552e248886
hex319c741d1

13317390801 has 81 divisors (see below), whose sum is σ = 22980956817. Its totient is φ = 7422592320.

The previous prime is 13317390799. The next prime is 13317390811. The reversal of 13317390801 is 10809371331.

The square root of 13317390801 is 115401.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8385980625 + 4931410176 = 91575^2 + 70224^2 .

It is not a de Polignac number, because 13317390801 - 21 = 13317390799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13317390811) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 49506895 + ... + 49507163.

Almost surely, 213317390801 is an apocalyptic number.

13317390801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13317390801 is the 115401-st square number.

13317390801 is the 57701-st centered octagonal number.

It is an amenable number.

13317390801 is a deficient number, since it is larger than the sum of its proper divisors (9663566016).

13317390801 is a wasteful number, since it uses less digits than its factorization.

13317390801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

Multiplying 13317390801 by its sum of digits (36), we get a square (479426068836 = 6924062).

The spelling of 13317390801 in words is "thirteen billion, three hundred seventeen million, three hundred ninety thousand, eight hundred one".

Divisors: 1 3 9 11 13 33 39 99 117 121 143 169 269 363 429 507 807 1089 1287 1521 1573 1859 2421 2959 3497 4719 5577 8877 10491 14157 16731 20449 26631 31473 32549 38467 45461 61347 72361 97647 115401 136383 184041 217083 292941 346203 409149 423137 500071 651249 795971 940693 1269411 1500213 2387913 2822079 3808233 4500639 5500781 7163739 8466237 8755681 10347623 12229009 16502343 26267043 31042869 36687027 49507029 78801129 93128607 110061081 113823853 134519099 341471559 403557297 1024414677 1210671891 1479710089 4439130267 13317390801