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13320450405 = 345137240073
BaseRepresentation
bin11000110011111010…
…11111000101100101
31021101022202222210000
430121331133011211
5204240013403110
610041435251513
7651043650243
oct143175370545
937338688700
1013320450405
1157160575a9
1226b8ba9b99
1313438acc22
14905143793
1552e6501c0
hex319f5f165

13320450405 has 40 divisors (see below), whose sum is σ = 24052533912. Its totient is φ = 7052355072.

The previous prime is 13320450389. The next prime is 13320450421. The reversal of 13320450405 is 50405402331.

13320450405 is a `hidden beast` number, since 1 + 3 + 3 + 204 + 50 + 405 = 666.

It is an interprime number because it is at equal distance from previous prime (13320450389) and next prime (13320450421).

It can be written as a sum of positive squares in 4 ways, for example, as 3378166884 + 9942283521 = 58122^2 + 99711^2 .

It is not a de Polignac number, because 13320450405 - 24 = 13320450389 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 64552 + ... + 175521.

Almost surely, 213320450405 is an apocalyptic number.

13320450405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13320450405 is a deficient number, since it is larger than the sum of its proper divisors (10732083507).

13320450405 is a wasteful number, since it uses less digits than its factorization.

13320450405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240227 (or 240218 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 13320450405 its reverse (50405402331), we get a palindrome (63725852736).

The spelling of 13320450405 in words is "thirteen billion, three hundred twenty million, four hundred fifty thousand, four hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 137 405 411 685 1233 2055 3699 6165 11097 18495 55485 240073 720219 1200365 2160657 3601095 6481971 10803285 19445913 32409855 32890001 97229565 98670003 164450005 296010009 493350015 888030027 1480050045 2664090081 4440150135 13320450405