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220010131320 = 233572337311093
BaseRepresentation
bin1100110011100110100…
…0000010111101111000
3210000212212212200022020
43030321220002331320
512101040043200240
6245023220354440
721616025155200
oct3147150027570
9700785780266
10220010131320
118533aa90011
1236780b45a20
1317992b33375
14a911883400
155aca0420d0
hex3339a02f78

220010131320 has 192 divisors, whose sum is σ = 768087321120. Its totient is φ = 50268589056.

The previous prime is 220010131277. The next prime is 220010131321. The reversal of 220010131320 is 23131010022.

220010131320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 220010131320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220010131321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19827694 + ... + 19838786.

Almost surely, 2220010131320 is an apocalyptic number.

220010131320 is a gapful number since it is divisible by the number (20) 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 220010131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384043660560).

220010131320 is an abundant number, since it is smaller than the sum of its proper divisors (548077189800).

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

220010131320 is a wasteful number, since it uses less digits than its factorization.

220010131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14494 (or 14483 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 220010131320 its reverse (23131010022), we get a palindrome (243141141342).

The spelling of 220010131320 in words is "two hundred twenty billion, ten million, one hundred thirty-one thousand, three hundred twenty".