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230112131132020 = 22541807893473549
BaseRepresentation
bin110100010100100100100111…
…110101011010101001110100
31010011202111122001211111222011
4310110210213311122221310
5220130124121032211040
62133224015332014004
766320024060633254
oct6424444765325164
91104674561744864
10230112131132020
1167359009016545
1221985333161304
139b52633596197
1440b76b5225964
151b90b280c73ea
hexd14927d5aa74

230112131132020 has 48 divisors (see below), whose sum is σ = 495027976338000. Its totient is φ = 89798718663680.

The previous prime is 230112131131937. The next prime is 230112131132047. The reversal of 230112131132020 is 20231131211032.

230112131132020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 98900558655376 + 131211572476644 = 9944876^2 + 11454762^2 .

It is a junction number, because it is equal to n+sod(n) for n = 230112131131982 and 230112131132000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64510206 + ... + 67983754.

It is an arithmetic number, because the mean of its divisors is an integer number (10313082840375).

Almost surely, 2230112131132020 is an apocalyptic number.

230112131132020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230112131132020 is an abundant number, since it is smaller than the sum of its proper divisors (264915845205980).

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

230112131132020 is a wasteful number, since it uses less digits than its factorization.

230112131132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3554388 (or 3554386 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 230112131132020 its reverse (20231131211032), we get a palindrome (250343262343052).

The spelling of 230112131132020 in words is "two hundred thirty trillion, one hundred twelve billion, one hundred thirty-one million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 80789 161578 323156 403945 807890 1615780 3312349 3473549 6624698 6947098 13249396 13894196 16561745 17367745 33123490 34735490 66246980 69470980 142415509 284831018 569662036 712077545 1424155090 2848310180 280624550161 561249100322 1122498200644 1403122750805 2806245501610 5612491003220 11505606556601 23011213113202 46022426226404 57528032783005 115056065566010 230112131132020