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230131131120000 = 27325411171709233
BaseRepresentation
bin110100010100110110010100…
…010100100111100110000000
31010011211022200012122220121200
4310110312110110213212000
5220130432024031320000
62133240440535421200
766321265651106235
oct6424662424474600
91104738605586550
10230131131120000
1167366079013750
1221988b56224800
139b54370a2b316
1440b859879978c
151b9138b15d500
hexd14d94527980

230131131120000 has 960 divisors, whose sum is σ = 955850212334160. Its totient is φ = 52507607040000.

The previous prime is 230131131119999. The next prime is 230131131120043. The reversal of 230131131120000 is 21131131032.

230131131120000 is a `hidden beast` number, since 2 + 301 + 31 + 1 + 311 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 133785384 + ... + 135494616.

Almost surely, 2230131131120000 is an apocalyptic number.

230131131120000 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 230131131120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477925106167080).

230131131120000 is an abundant number, since it is smaller than the sum of its proper divisors (725719081214160).

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

230131131120000 is a wasteful number, since it uses less digits than its factorization.

230131131120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709301 (or 1709271 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 230131131120000 its reverse (21131131032), we get a palindrome (230152262251032).

The spelling of 230131131120000 in words is "two hundred thirty trillion, one hundred thirty-one billion, one hundred thirty-one million, one hundred twenty thousand".