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230313222313031 = 11135983328891561
BaseRepresentation
bin110100010111011111111001…
…110011011001010001000111
31010012110201200110100221102002
4310113133321303121101013
5220141422434403004111
62133500233401535515
766340403231523104
oct6427377163312107
91105421613327362
10230313222313031
116742631a819130
12219b82b41a459b
139b6859c998ba0
1440c33101cbaab
151b95e9723e63b
hexd177f9cd9447

230313222313031 has 32 divisors (see below), whose sum is σ = 278479063376640. Its totient is φ = 187704991123200.

The previous prime is 230313222313001. The next prime is 230313222313049. The reversal of 230313222313031 is 130313222313032.

It is a cyclic number.

It is not a de Polignac number, because 230313222313031 - 26 = 230313222312967 is a prime.

It is a super-2 number, since 2×2303132223130312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 230313222312985 and 230313222313003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230313222313001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163745510 + ... + 165146051.

It is an arithmetic number, because the mean of its divisors is an integer number (8702470730520).

Almost surely, 2230313222313031 is an apocalyptic number.

230313222313031 is a deficient number, since it is larger than the sum of its proper divisors (48165841063609).

230313222313031 is a wasteful number, since it uses less digits than its factorization.

230313222313031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328891727.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 230313222313031 its reverse (130313222313032), we get a palindrome (360626444626063).

Subtracting from 230313222313031 its reverse (130313222313032), we obtain a palindrome (99999999999999).

The spelling of 230313222313031 in words is "two hundred thirty trillion, three hundred thirteen billion, two hundred twenty-two million, three hundred thirteen thousand, thirty-one".

Divisors: 1 11 13 59 83 143 649 767 913 1079 4897 8437 11869 53867 63661 700271 328891561 3617807171 4275590293 19404602099 27297999563 47031493223 213450623089 252259827287 300277995193 354873994319 1610581974217 2774858100157 3903613937509 17716401716387 20937565664821 230313222313031