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20301211320 = 233513139251373
BaseRepresentation
bin10010111010000010…
…111110011010111000
31221101211022101111120
4102322002332122320
5313034102230240
613154245225240
71316040310005
oct227202763270
957354271446
1020301211320
1186785605a5
123b26a02220
131bb6c0aba0
14da82d28ac
157dc418ad0
hex4ba0be6b8

20301211320 has 256 divisors, whose sum is σ = 66501388800. Its totient is φ = 4928256000.

The previous prime is 20301211297. The next prime is 20301211321. The reversal of 20301211320 is 2311210302.

It is a super-2 number, since 2×203012113202 (a number of 21 digits) contains 22 as substring.

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 20301211320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20301211321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54426654 + ... + 54427026.

It is an arithmetic number, because the mean of its divisors is an integer number (259771050).

Almost surely, 220301211320 is an apocalyptic number.

20301211320 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 20301211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33250694400).

20301211320 is an abundant number, since it is smaller than the sum of its proper divisors (46200177480).

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

20301211320 is a wasteful number, since it uses less digits than its factorization.

20301211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 786 counting only the distinct ones).

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

Adding to 20301211320 its reverse (2311210302), we get a palindrome (22612421622).

The spelling of 20301211320 in words is "twenty billion, three hundred one million, two hundred eleven thousand, three hundred twenty".