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13300622532 = 223210113726701
BaseRepresentation
bin11000110001100011…
…10110010011000100
31021022221110122001100
430120301312103010
5204214424410112
610035450300100
7650413266111
oct143061662304
937287418040
1013300622532
11570594462a
1226b2427630
13133c759c62
14902661908
1552ca352dc
hex318c764c4

13300622532 has 72 divisors (see below), whose sum is σ = 34203019032. Its totient is φ = 4357440000.

The previous prime is 13300622521. The next prime is 13300622539. The reversal of 13300622532 is 23522600331.

13300622532 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 0 + 622 + 5 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2744292996 + 10556329536 = 52386^2 + 102744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13300622496 and 13300622505.

It is not an unprimeable number, because it can be changed into a prime (13300622539) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 484782 + ... + 511482.

It is an arithmetic number, because the mean of its divisors is an integer number (475041931).

Almost surely, 213300622532 is an apocalyptic number.

13300622532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13300622532 is an abundant number, since it is smaller than the sum of its proper divisors (20902396500).

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

13300622532 is a wasteful number, since it uses less digits than its factorization.

13300622532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26949 (or 26944 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The spelling of 13300622532 in words is "thirteen billion, three hundred million, six hundred twenty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 101 137 202 274 303 404 411 548 606 822 909 1212 1233 1644 1818 2466 3636 4932 13837 26701 27674 41511 53402 55348 80103 83022 106804 124533 160206 166044 240309 249066 320412 480618 498132 961236 2696801 3658037 5393602 7316074 8090403 10787204 10974111 14632148 16180806 21948222 24271209 32361612 32922333 43896444 48542418 65844666 97084836 131689332 369461737 738923474 1108385211 1477846948 2216770422 3325155633 4433540844 6650311266 13300622532