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13331311220 = 225666565561
BaseRepresentation
bin11000110101001101…
…11010101001110100
31021102002012210000102
430122212322221310
5204300303424340
610042504133232
7651235163363
oct143246725164
937362183012
1013331311220
1157211a5487
122700767218
131345c13546
1490676d7da
15530598215
hex31a9baa74

13331311220 has 12 divisors (see below), whose sum is σ = 27995753604. Its totient is φ = 5332524480.

The previous prime is 13331311211. The next prime is 13331311241. The reversal of 13331311220 is 2211313331.

It can be written as a sum of positive squares in 2 ways, for example, as 3857403664 + 9473907556 = 62108^2 + 97334^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 666565561 = 13331311220 / (1 + 3 + 3 + 3 + 1 + 3 + 1 + 1 + 2 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 13331311192 and 13331311201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 333282761 + ... + 333282800.

It is an arithmetic number, because the mean of its divisors is an integer number (2332979467).

Almost surely, 213331311220 is an apocalyptic number.

13331311220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13331311220 is an abundant number, since it is smaller than the sum of its proper divisors (14664442384).

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

13331311220 is a wasteful number, since it uses less digits than its factorization.

13331311220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666565570 (or 666565568 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13331311220 its reverse (2211313331), we get a palindrome (15542624551).

The spelling of 13331311220 in words is "thirteen billion, three hundred thirty-one million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 666565561 1333131122 2666262244 3332827805 6665655610 13331311220