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13220031300 = 22352717675527
BaseRepresentation
bin11000100111111100…
…11010101101000100
31021010022211011122220
430103332122231010
5204033312000200
610023451052340
7645414261210
oct142376325504
937108734586
1013220031300
1156743aa203
12268b4410b0
131328b50738
148d5a83940
155259164a0
hex313f9ab44

13220031300 has 288 divisors, whose sum is σ = 46984992768. Its totient is φ = 2801018880.

The previous prime is 13220031289. The next prime is 13220031301. The reversal of 13220031300 is 313002231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13220031300.

It is not an unprimeable number, because it can be changed into a prime (13220031301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2389137 + ... + 2394663.

It is an arithmetic number, because the mean of its divisors is an integer number (163142336).

Almost surely, 213220031300 is an apocalyptic number.

13220031300 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 13220031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23492496384).

13220031300 is an abundant number, since it is smaller than the sum of its proper divisors (33764961468).

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

13220031300 is a wasteful number, since it uses less digits than its factorization.

13220031300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5635 (or 5628 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13220031300 its reverse (313002231), we get a palindrome (13533033531).

The spelling of 13220031300 in words is "thirteen billion, two hundred twenty million, thirty-one thousand, three hundred".