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230132022120 = 2332573111313033
BaseRepresentation
bin1101011001010011101…
…1111111101101101000
3211000000022000000011200
43112110323333231220
512232302244201440
6253415435524200
722424612625000
oct3262473775550
9730008000150
10230132022120
1189664588420
12387268b9660
1318916b5a270
14b1d1c95000
155ebd97ac30
hex3594effb68

230132022120 has 768 divisors, whose sum is σ = 1024785216000. Its totient is φ = 44137820160.

The previous prime is 230132022103. The next prime is 230132022143. The reversal of 230132022120 is 21220231032.

230132022120 is a `hidden beast` number, since 2 + 301 + 320 + 2 + 21 + 20 = 666.

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 = 230132022093 and 230132022102.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17651124 + ... + 17664156.

It is an arithmetic number, because the mean of its divisors is an integer number (1334355750).

Almost surely, 2230132022120 is an apocalyptic number.

230132022120 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 230132022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512392608000).

230132022120 is an abundant number, since it is smaller than the sum of its proper divisors (794653193880).

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

230132022120 is a wasteful number, since it uses less digits than its factorization.

230132022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13095 (or 13074 counting only the distinct ones).

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

Adding to 230132022120 its reverse (21220231032), we get a palindrome (251352253152).

The spelling of 230132022120 in words is "two hundred thirty billion, one hundred thirty-two million, twenty-two thousand, one hundred twenty".