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13220310032 = 2417971094597
BaseRepresentation
bin11000100111111110…
…11110110000010000
31021010100100100000022
430103333132300100
5204033344410112
610023501043012
7645416531636
oct142377366020
937110310008
1013220310032
11567457a666
12268b556468
131328c1a577
148d5b17356
1552596dd72
hex313fdec10

13220310032 has 80 divisors (see below), whose sum is σ = 27658073520. Its totient is φ = 6099369984.

The previous prime is 13220310031. The next prime is 13220310041. The reversal of 13220310032 is 23001302231.

It can be written as a sum of positive squares in 8 ways, for example, as 14622976 + 13205687056 = 3824^2 + 114916^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (13220310031) 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, 2873558 + ... + 2878154.

It is an arithmetic number, because the mean of its divisors is an integer number (345725919).

Almost surely, 213220310032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13220310032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13829036760).

13220310032 is an abundant number, since it is smaller than the sum of its proper divisors (14437763488).

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

13220310032 is a wasteful number, since it uses less digits than its factorization.

13220310032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4828 (or 4822 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 13220310032 its reverse (23001302231), we get a palindrome (36221612263).

The spelling of 13220310032 in words is "thirteen billion, two hundred twenty million, three hundred ten thousand, thirty-two".

Divisors: 1 2 4 8 16 17 34 68 97 109 136 194 218 272 388 436 776 872 1552 1649 1744 1853 3298 3706 4597 6596 7412 9194 10573 13192 14824 18388 21146 26384 29648 36776 42292 73552 78149 84584 156298 169168 179741 312596 359482 445909 501073 625192 718964 891818 1002146 1250384 1437928 1783636 2004292 2875856 3567272 4008584 7134544 7580453 8017168 8518241 15160906 17036482 30321812 34072964 48604081 60643624 68145928 97208162 121287248 136291856 194416324 388832648 777665296 826269377 1652538754 3305077508 6610155016 13220310032