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13321313552204 = 2272364381139667
BaseRepresentation
bin1100000111011001110000…
…1010011000011101001100
31202011111122020122012010222
43001312130022120131030
53221224022232132304
644155421005050512
72543301365624150
oct301663412303514
952144566565128
1013321313552204
1142765a023a249
1215b1914b56a38
1375826b363278
14340a7da9b060
151817b807c4be
hexc1d9c29874c

13321313552204 has 96 divisors (see below), whose sum is σ = 27879274622976. Its totient is φ = 5445557916480.

The previous prime is 13321313552191. The next prime is 13321313552219. The reversal of 13321313552204 is 40225531312331.

It is a super-2 number, since 2×133213135522042 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335808779 + ... + 335848445.

It is an arithmetic number, because the mean of its divisors is an integer number (290409110656).

Almost surely, 213321313552204 is an apocalyptic number.

13321313552204 is a gapful number since it is divisible by the number (14) 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 13321313552204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13939637311488).

13321313552204 is an abundant number, since it is smaller than the sum of its proper divisors (14557961070772).

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

13321313552204 is a wasteful number, since it uses less digits than its factorization.

13321313552204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41155 (or 41153 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

Adding to 13321313552204 its reverse (40225531312331), we get a palindrome (53546844864535).

The spelling of 13321313552204 in words is "thirteen trillion, three hundred twenty-one billion, three hundred thirteen million, five hundred fifty-two thousand, two hundred four".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 643 644 811 1286 1622 2572 3244 4501 5677 9002 11354 14789 18004 18653 22708 29578 37306 39667 59156 74612 79334 103523 130571 158668 207046 261142 277669 414092 521473 522284 555338 912341 1042946 1110676 1824682 2085892 3649364 3650311 6386387 7300622 11993879 12772774 14601244 23987758 25505881 25545548 32169937 47975516 51011762 64339874 83957153 102023524 128679748 167914306 178541167 225189559 335828612 357082334 450379118 586635263 714164668 739908551 900758236 1173270526 1479817102 2346541052 2959634204 4106446841 5179359857 8212893682 10358719714 16425787364 20685269491 20717439428 41370538982 82741077964 144796886437 289593772874 475761198293 579187545748 951522396586 1903044793172 3330328388051 6660656776102 13321313552204