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20013232320 = 2632517676101
BaseRepresentation
bin10010101000111000…
…011011000011000000
31220122202102112120200
4102220320123003000
5311441341413240
613105521005200
71305642445044
oct225070330300
956582375520
1020013232320
11853aa47724
123a66483800
131b6c35b803
14d7bd6c024
157c1ed1930
hex4a8e1b0c0

20013232320 has 336 divisors, whose sum is σ = 73986408288. Its totient is φ = 4947148800.

The previous prime is 20013232307. The next prime is 20013232339. The reversal of 20013232320 is 2323231002.

It is a happy number.

20013232320 is a `hidden beast` number, since 20 + 0 + 1 + 323 + 2 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20013232293 and 20013232302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3277270 + ... + 3283370.

Almost surely, 220013232320 is an apocalyptic number.

20013232320 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 20013232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36993204144).

20013232320 is an abundant number, since it is smaller than the sum of its proper divisors (53973175968).

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

20013232320 is a wasteful number, since it uses less digits than its factorization.

20013232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6208 (or 6195 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20013232320 its reverse (2323231002), we get a palindrome (22336463322).

The spelling of 20013232320 in words is "twenty billion, thirteen million, two hundred thirty-two thousand, three hundred twenty".