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13322132309412 = 223441117692313
BaseRepresentation
bin1100000111011100110011…
…1101101100010110100100
31202011120202022021100220000
43001313030331230112210
53221232211332400122
644200034133541300
72543330600142333
oct301671475542644
952146668240800
1013322132309412
1142769804216a3
1215b1b031a4830
1375836bb829a4
14340b1a709d1a
15181814dac0ac
hexc1dccf6c5a4

13322132309412 has 30 divisors (see below), whose sum is σ = 34826685389958. Its totient is φ = 4440710769696.

The previous prime is 13322132309411. The next prime is 13322132309413. The reversal of 13322132309412 is 21490323122331.

13322132309412 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 2 + 1 + 3 + 230 + 9 + 412 = 666.

It is an interprime number because it is at equal distance from previous prime (13322132309411) and next prime (13322132309413).

It can be written as a sum of positive squares in only one way, i.e., 13084323935076 + 237808374336 = 3617226^2 + 487656^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13322132309411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20558845833 + ... + 20558846480.

Almost surely, 213322132309412 is an apocalyptic number.

13322132309412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13322132309412 is an abundant number, since it is smaller than the sum of its proper divisors (21504553080546).

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

13322132309412 is a wasteful number, since it uses less digits than its factorization.

13322132309412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41117692329 (or 41117692318 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 13322132309412 in words is "thirteen trillion, three hundred twenty-two billion, one hundred thirty-two million, three hundred nine thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 41117692313 82235384626 123353076939 164470769252 246706153878 370059230817 493412307756 740118461634 1110177692451 1480236923268 2220355384902 3330533077353 4440710769804 6661066154706 13322132309412