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13220313132 = 22313137618581
BaseRepresentation
bin11000100111111110…
…11111100000101100
31021010100100111021010
430103333133200230
5204033400010012
610023501105220
7645416543655
oct142377374054
937110314233
1013220313132
115674581a24
12268b558210
131328c1bac0
148d5b1852c
1552596ec3c
hex313fdf82c

13220313132 has 48 divisors (see below), whose sum is σ = 33462811872. Its totient is φ = 4038090240.

The previous prime is 13220313059. The next prime is 13220313179. The reversal of 13220313132 is 23131302231.

It is a junction number, because it is equal to n+sod(n) for n = 13220313099 and 13220313108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287919 + ... + 330662.

It is an arithmetic number, because the mean of its divisors is an integer number (697141914).

Almost surely, 213220313132 is an apocalyptic number.

13220313132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13220313132 is an abundant number, since it is smaller than the sum of its proper divisors (20242498740).

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

13220313132 is a wasteful number, since it uses less digits than its factorization.

13220313132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618738 (or 618736 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13220313132 its reverse (23131302231), we get a palindrome (36351615363).

The spelling of 13220313132 in words is "thirteen billion, two hundred twenty million, three hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 137 156 274 411 548 822 1644 1781 3562 5343 7124 10686 21372 618581 1237162 1855743 2474324 3711486 7422972 8041553 16083106 24124659 32166212 48249318 84745597 96498636 169491194 254236791 338982388 508473582 1016947164 1101692761 2203385522 3305078283 4406771044 6610156566 13220313132