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20013220000 = 255423139313
BaseRepresentation
bin10010101000111000…
…011000000010100000
31220122202101220200101
4102220320120002200
5311441341020000
613105520432144
71305642364114
oct225070300240
956582356611
1020013220000
11853aa39444
123a66478654
131b6c356017
14d7bd67744
157c1ecce6a
hex4a8e180a0

20013220000 has 240 divisors, whose sum is σ = 51911133120. Its totient is φ = 7577856000.

The previous prime is 20013219983. The next prime is 20013220001. The reversal of 20013220000 is 2231002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (20013220001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 63939844 + ... + 63940156.

It is an arithmetic number, because the mean of its divisors is an integer number (216296388).

Almost surely, 220013220000 is an apocalyptic number.

20013220000 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 20013220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25955566560).

20013220000 is an abundant number, since it is smaller than the sum of its proper divisors (31897913120).

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

20013220000 is a wasteful number, since it uses less digits than its factorization.

20013220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 20013220000 its reverse (2231002), we get a palindrome (20015451002).

The spelling of 20013220000 in words is "twenty billion, thirteen million, two hundred twenty thousand".