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231300064222920 = 23325711171930898363
BaseRepresentation
bin110100100101110110111110…
…001010100001111011001000
31010022222001220011112010120100
4310211312332022201323020
5220304110012420113140
62135533441012525400
766501610133411310
oct6445667612417310
91108861804463510
10231300064222920
1167776896301190
1221b37603620860
139c0a66bbc0694
144118da8cb6440
151bb19a3727530
hexd25dbe2a1ec8

231300064222920 has 1536 divisors, whose sum is σ = 1045038039552000. Its totient is φ = 42835360481280.

The previous prime is 231300064222879. The next prime is 231300064222933. The reversal of 231300064222920 is 29222460003132.

231300064222920 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 0 + 0 + 0 + 642 + 2 + 2 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 27657542659 + ... + 27657551021.

It is an arithmetic number, because the mean of its divisors is an integer number (680363307000).

Almost surely, 2231300064222920 is an apocalyptic number.

231300064222920 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 231300064222920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522519019776000).

231300064222920 is an abundant number, since it is smaller than the sum of its proper divisors (813737975329080).

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

231300064222920 is a wasteful number, since it uses less digits than its factorization.

231300064222920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11523 (or 11516 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 231300064222920 in words is "two hundred thirty-one trillion, three hundred billion, sixty-four million, two hundred twenty-two thousand, nine hundred twenty".