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13221211080 = 233571131101457
BaseRepresentation
bin11000101000000101…
…11010101111001000
31021010102001010000110
430110002322233020
5204034112223310
610023532234320
7645430303620
oct142402725710
937112033013
1013221211080
115675035630
12268b90b9a0
13132917472c
148d5cad880
15525a9ad20
hex3140babc8

13221211080 has 512 divisors, whose sum is σ = 51664158720. Its totient is φ = 2626560000.

The previous prime is 13221211079. The next prime is 13221211127. The reversal of 13221211080 is 8011212231.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 28930212 + ... + 28930668.

It is an arithmetic number, because the mean of its divisors is an integer number (100906560).

Almost surely, 213221211080 is an apocalyptic number.

13221211080 is a gapful number since it is divisible by the number (10) 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 13221211080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25832079360).

13221211080 is an abundant number, since it is smaller than the sum of its proper divisors (38442947640).

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

13221211080 is a wasteful number, since it uses less digits than its factorization.

13221211080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

It can be divided in two parts, 132 and 21211080, that added together give a palindrome (21211212).

The spelling of 13221211080 in words is "thirteen billion, two hundred twenty-one million, two hundred eleven thousand, eighty".