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230311122223131 = 32711108332520463
BaseRepresentation
bin110100010111011101111100…
…101000001100000000011011
31010012110112021002200022122200
4310113131330220030000123
5220141404134242120011
62133455245141421243
766340300211203035
oct6427357450140033
91105415232608580
10230311122223131
1167425442329544
12219b7a08a0a823
139b68326879141
1440c319131ac55
151b95dc2baa856
hexd1777ca0c01b

230311122223131 has 24 divisors (see below), whose sum is σ = 337387586305536. Its totient is φ = 151364539151280.

The previous prime is 230311122223111. The next prime is 230311122223151. The reversal of 230311122223131 is 131322221113032.

230311122223131 is a `hidden beast` number, since 2 + 3 + 0 + 311 + 12 + 2 + 22 + 313 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (230311122223111) and next prime (230311122223151).

It is not a de Polignac number, because 230311122223131 - 26 = 230311122223067 is a prime.

It is a super-2 number, since 2×2303111222231312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230311122223095 and 230311122223104.

It is not an unprimeable number, because it can be changed into a prime (230311122223111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9178195 + ... + 23342268.

It is an arithmetic number, because the mean of its divisors is an integer number (14057816096064).

Almost surely, 2230311122223131 is an apocalyptic number.

230311122223131 is a deficient number, since it is larger than the sum of its proper divisors (107076464082405).

230311122223131 is a wasteful number, since it uses less digits than its factorization.

230311122223131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32531623 (or 32531620 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 230311122223131 its reverse (131322221113032), we get a palindrome (361633343336163).

The spelling of 230311122223131 in words is "two hundred thirty trillion, three hundred eleven billion, one hundred twenty-two million, two hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 71 213 639 11083 33249 99747 786893 2360679 7082037 32520463 97561389 292684167 2308952873 6926858619 20780575857 360424291429 1081272874287 3243818622861 25590124691459 76770374074377 230311122223131