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230312033122131 = 32171505307406027
BaseRepresentation
bin110100010111011110110010…
…111010111111011101010011
31010012110121121120200210011200
4310113132302322333131103
5220141413020434402011
62133455515401242243
766340331611544202
oct6427366272773523
91105417546623150
10230312033122131
116742586a525434
12219b8021a93383
139b684404ba62c
1440c323a2b3239
151b95e27b3b856
hexd177b2ebf753

230312033122131 has 12 divisors (see below), whose sum is σ = 352241933010552. Its totient is φ = 144509510978496.

The previous prime is 230312033122111. The next prime is 230312033122147. The reversal of 230312033122131 is 131221330213032.

230312033122131 is a `hidden beast` number, since 2 + 3 + 0 + 312 + 0 + 3 + 312 + 2 + 1 + 31 = 666.

It is not a de Polignac number, because 230312033122131 - 211 = 230312033120083 is a prime.

It is a super-2 number, since 2×2303120331221312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230312033122095 and 230312033122104.

It is not an unprimeable number, because it can be changed into a prime (230312033122111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 752653702861 + ... + 752653703166.

It is an arithmetic number, because the mean of its divisors is an integer number (29353494417546).

Almost surely, 2230312033122131 is an apocalyptic number.

230312033122131 is a deficient number, since it is larger than the sum of its proper divisors (121929899888421).

230312033122131 is a wasteful number, since it uses less digits than its factorization.

230312033122131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505307406050 (or 1505307406047 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 230312033122131 its reverse (131221330213032), we get a palindrome (361533363335163).

The spelling of 230312033122131 in words is "two hundred thirty trillion, three hundred twelve billion, thirty-three million, one hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 17 51 153 1505307406027 4515922218081 13547766654243 25590225902459 76770677707377 230312033122131