Search a number
-
+
13220110332 = 223311133153521
BaseRepresentation
bin11000100111111101…
…01101111111111100
31021010022222012002000
430103332231333330
5204033322012312
610023452502300
7645415040502
oct142376557774
937108865060
1013220110332
115674453620
12268b47a990
131328b7a6c0
148d5aa4672
1552592eadc
hex313fadffc

13220110332 has 384 divisors, whose sum is σ = 42430832640. Its totient is φ = 3504384000.

The previous prime is 13220110313. The next prime is 13220110349. The reversal of 13220110332 is 23301102231.

13220110332 is a `hidden beast` number, since 1 + 3 + 220 + 110 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25374232 + ... + 25374752.

It is an arithmetic number, because the mean of its divisors is an integer number (110496960).

Almost surely, 213220110332 is an apocalyptic number.

13220110332 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 13220110332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21215416320).

13220110332 is an abundant number, since it is smaller than the sum of its proper divisors (29210722308).

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

13220110332 is a wasteful number, since it uses less digits than its factorization.

13220110332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13220110332 its reverse (23301102231), we get a palindrome (36521212563).

The spelling of 13220110332 in words is "thirteen billion, two hundred twenty million, one hundred ten thousand, three hundred thirty-two".