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204311134020 = 2235721921631181
BaseRepresentation
bin1011111001000111100…
…1000111111101000100
3201112100210102222120210
42332101321013331010
511321412122242040
6233505332355420
720522006661600
oct2762171077504
9645323388523
10204311134020
1179714343a84
123371b475b70
1316360539456
149c628a6500
1554abba7480
hex2f91e47f44

204311134020 has 432 divisors, whose sum is σ = 707245898688. Its totient is φ = 43933155840.

The previous prime is 204311134007. The next prime is 204311134061. The reversal of 204311134020 is 20431113402.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 172997830 + ... + 172999010.

It is an arithmetic number, because the mean of its divisors is an integer number (1637143284).

Almost surely, 2204311134020 is an apocalyptic number.

204311134020 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 204311134020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353622949344).

204311134020 is an abundant number, since it is smaller than the sum of its proper divisors (502934764668).

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

204311134020 is a wasteful number, since it uses less digits than its factorization.

204311134020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 204311134020 its reverse (20431113402), we get a palindrome (224742247422).

The spelling of 204311134020 in words is "two hundred four billion, three hundred eleven million, one hundred thirty-four thousand, twenty".