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20041231320 = 2332511174153137
BaseRepresentation
bin10010101010100011…
…001110101111011000
31220201201010000222200
4102222203032233120
5312021023400240
613112401050200
71306432440555
oct225243165730
956651100880
1020041231320
1185548307a0
123a73926960
131b750b2a76
14d81979a2c
157c46b2930
hex4aa8cebd8

20041231320 has 768 divisors, whose sum is σ = 79097316480. Its totient is φ = 4345036800.

The previous prime is 20041231313. The next prime is 20041231339. The reversal of 20041231320 is 2313214002.

20041231320 is a `hidden beast` number, since 200 + 412 + 31 + 3 + 20 = 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 = 20041231293 and 20041231302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 146286292 + ... + 146286428.

Almost surely, 220041231320 is an apocalyptic number.

20041231320 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 20041231320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39548658240).

20041231320 is an abundant number, since it is smaller than the sum of its proper divisors (59056085160).

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

20041231320 is a wasteful number, since it uses less digits than its factorization.

20041231320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20041231320 its reverse (2313214002), we get a palindrome (22354445322).

The spelling of 20041231320 in words is "twenty billion, forty-one million, two hundred thirty-one thousand, three hundred twenty".