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230132311122120 = 2335113111268944179
BaseRepresentation
bin110100010100110111011010…
…101001111110000011001000
31010011211102201110001020012220
4310110313122221332003020
5220130441433121401440
62133241154011134040
766321340130004531
oct6424673251760310
91104742643036186
10230132311122120
1167366624100810
1221989225444320
139b544cb340324
1440b866b3a1688
151b91409a488d0
hexd14ddaa7e0c8

230132311122120 has 256 divisors, whose sum is σ = 755658678528000. Its totient is φ = 55604622028800.

The previous prime is 230132311122073. The next prime is 230132311122179. The reversal of 230132311122120 is 21221113231032.

230132311122120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5209066191 + ... + 5209110369.

It is an arithmetic number, because the mean of its divisors is an integer number (2951791713000).

Almost surely, 2230132311122120 is an apocalyptic number.

230132311122120 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 230132311122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377829339264000).

230132311122120 is an abundant number, since it is smaller than the sum of its proper divisors (525526367405880).

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

230132311122120 is a wasteful number, since it uses less digits than its factorization.

230132311122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57204 (or 57200 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 230132311122120 its reverse (21221113231032), we get a palindrome (251353424353152).

The spelling of 230132311122120 in words is "two hundred thirty trillion, one hundred thirty-two billion, three hundred eleven million, one hundred twenty-two thousand, one hundred twenty".