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13322100012 = 2231388679631
BaseRepresentation
bin11000110100000111…
…10001110100101100
31021101102212210121120
430122003301310230
5204240424200022
610041534500540
7651063660504
oct143203616454
937342783546
1013322100012
115716a83a11
1226b9664750
131344039a20
14905452a04
1552e878d5c
hex31a0f1d2c

13322100012 has 48 divisors (see below), whose sum is σ = 33483297792. Its totient is φ = 4098219840.

The previous prime is 13322099977. The next prime is 13322100017. The reversal of 13322100012 is 21000122331.

It is a junction number, because it is equal to n+sod(n) for n = 13322099964 and 13322100000.

It is not an unprimeable number, because it can be changed into a prime (13322100017) 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, 1378437 + ... + 1388067.

It is an arithmetic number, because the mean of its divisors is an integer number (697568704).

Almost surely, 213322100012 is an apocalyptic number.

13322100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13322100012 is an abundant number, since it is smaller than the sum of its proper divisors (20161197780).

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

13322100012 is a wasteful number, since it uses less digits than its factorization.

13322100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18518 (or 18516 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13322100012 its reverse (21000122331), we get a palindrome (34322222343).

The spelling of 13322100012 in words is "thirteen billion, three hundred twenty-two million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 8867 9631 17734 19262 26601 28893 35468 38524 53202 57786 106404 115271 115572 125203 230542 250406 345813 375609 461084 500812 691626 751218 1383252 1502436 85398077 170796154 256194231 341592308 512388462 1024776924 1110175001 2220350002 3330525003 4440700004 6661050006 13322100012