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13197210336 = 2533113135173
BaseRepresentation
bin11000100101001110…
…10111001011100000
31021001201212202012000
430102213113023200
5204011441212321
610021314004000
7645016302612
oct142247271340
937051782160
1013197210336
115662532502
122683876600
1313241c02cb
148d2a22db2
15523909826
hex3129d72e0

13197210336 has 96 divisors (see below), whose sum is σ = 38832786720. Its totient is φ = 4360108032.

The previous prime is 13197210311. The next prime is 13197210337. The reversal of 13197210336 is 63301279131.

13197210336 is a `hidden beast` number, since 1 + 319 + 7 + 2 + 1 + 0 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13197210336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13197210337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30046 + ... + 165218.

It is an arithmetic number, because the mean of its divisors is an integer number (404508195).

Almost surely, 213197210336 is an apocalyptic number.

13197210336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13197210336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19416393360).

13197210336 is an abundant number, since it is smaller than the sum of its proper divisors (25635576384).

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

13197210336 is a wasteful number, since it uses less digits than its factorization.

13197210336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135305 (or 135291 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

Adding to 13197210336 its reverse (63301279131), we get a palindrome (76498489467).

The spelling of 13197210336 in words is "thirteen billion, one hundred ninety-seven million, two hundred ten thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 113 144 216 226 288 339 432 452 678 864 904 1017 1356 1808 2034 2712 3051 3616 4068 5424 6102 8136 10848 12204 16272 24408 32544 48816 97632 135173 270346 405519 540692 811038 1081384 1216557 1622076 2162768 2433114 3244152 3649671 4325536 4866228 6488304 7299342 9732456 12976608 14598684 15274549 19464912 29197368 30549098 38929824 45823647 58394736 61098196 91647294 116789472 122196392 137470941 183294588 244392784 274941882 366589176 412412823 488785568 549883764 733178352 824825646 1099767528 1466356704 1649651292 2199535056 3299302584 4399070112 6598605168 13197210336