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232230020010120 = 2332511217218447293
BaseRepresentation
bin110100110011011001000011…
…110110010101000010001000
31010110020222021101101212121200
4310303121003312111002020
5220414324040110310440
62141524555352504200
766626031246235356
oct6463310366250210
91113228241355550
10232230020010120
1167aa5220087300
12220678979ab060
139c77273831652
14414bdc88b87d6
151bcac80a47c30
hexd33643d95088

232230020010120 has 432 divisors, whose sum is σ = 881269109737380. Its totient is φ = 52986525757440.

The previous prime is 232230020010061. The next prime is 232230020010133. The reversal of 232230020010120 is 21010020032232.

232230020010120 is a `hidden beast` number, since 2 + 32 + 2 + 300 + 200 + 10 + 120 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 120313213312644 + 111916806697476 = 10968738^2 + 10579074^2 .

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 = 232230020010093 and 232230020010102.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3365194 + ... + 21812486.

Almost surely, 2232230020010120 is an apocalyptic number.

232230020010120 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 232230020010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440634554868690).

232230020010120 is an abundant number, since it is smaller than the sum of its proper divisors (649039089727260).

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

232230020010120 is a wasteful number, since it uses less digits than its factorization.

232230020010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18447366 (or 18447331 counting only the distinct ones).

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

Adding to 232230020010120 its reverse (21010020032232), we get a palindrome (253240040042352).

The spelling of 232230020010120 in words is "two hundred thirty-two trillion, two hundred thirty billion, twenty million, ten thousand, one hundred twenty".