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13220314332 = 2232948778007
BaseRepresentation
bin11000100111111110…
…11111110011011100
31021010100100112220120
430103333133303130
5204033400024312
610023501114540
7645416550321
oct142377376334
937110315816
1013220314332
115674582915
12268b558a50
131328c1c504
148d5b18b48
1552597028c
hex313fdfcdc

13220314332 has 48 divisors (see below), whose sum is σ = 31977039360. Its totient is φ = 4246022592.

The previous prime is 13220314321. The next prime is 13220314337. The reversal of 13220314332 is 23341302231.

It is a super-2 number, since 2×132203143322 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13220314337) 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 15 ways as a sum of consecutive naturals, for example, 130473 + ... + 208479.

It is an arithmetic number, because the mean of its divisors is an integer number (666188320).

Almost surely, 213220314332 is an apocalyptic number.

13220314332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13220314332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15988519680).

13220314332 is an abundant number, since it is smaller than the sum of its proper divisors (18756725028).

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

13220314332 is a wasteful number, since it uses less digits than its factorization.

13220314332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78530 (or 78528 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13220314332 its reverse (23341302231), we get a palindrome (36561616563).

The spelling of 13220314332 in words is "thirteen billion, two hundred twenty million, three hundred fourteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 487 974 1461 1948 2922 5844 14123 28246 42369 56492 78007 84738 156014 169476 234021 312028 468042 936084 2262203 4524406 6786609 9048812 13573218 27146436 37989409 75978818 113968227 151957636 227936454 455872908 1101692861 2203385722 3305078583 4406771444 6610157166 13220314332