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13220122300 = 225271189101191
BaseRepresentation
bin11000100111111101…
…10000111010111100
31021010022222210111021
430103332300322330
5204033322403200
610023453033524
7645415120420
oct142376607274
937108883437
1013220122300
115674461610
12268b4858a4
131328b82c98
148d5aa8b80
1552593341a
hex313fb0ebc

13220122300 has 288 divisors, whose sum is σ = 36717649920. Its totient is φ = 4012800000.

The previous prime is 13220122283. The next prime is 13220122313. The reversal of 13220122300 is 322102231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69215205 + ... + 69215395.

It is an arithmetic number, because the mean of its divisors is an integer number (127491840).

Almost surely, 213220122300 is an apocalyptic number.

13220122300 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 13220122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18358824960).

13220122300 is an abundant number, since it is smaller than the sum of its proper divisors (23497527620).

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

13220122300 is a wasteful number, since it uses less digits than its factorization.

13220122300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13220122300 its reverse (322102231), we get a palindrome (13542224531).

The spelling of 13220122300 in words is "thirteen billion, two hundred twenty million, one hundred twenty-two thousand, three hundred".