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230312100113 is a prime number
BaseRepresentation
bin1101011001111110101…
…0111100000100010001
3211000110211211220201222
43112133222330010101
512233134344200423
6253445351334425
722432230356504
oct3263752740421
9730424756658
10230312100113
11897471a3707
1238777081415
131894525a7a4
14b20bb6d13b
155ece69c3c8
hex359fabc111

230312100113 has 2 divisors, whose sum is σ = 230312100114. Its totient is φ = 230312100112.

The previous prime is 230312100097. The next prime is 230312100131. The reversal of 230312100113 is 311001213032.

Together with next prime (230312100131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 203447906704 + 26864193409 = 451052^2 + 163903^2 .

It is a cyclic number.

It is not a de Polignac number, because 230312100113 - 24 = 230312100097 is a prime.

It is a super-2 number, since 2×2303121001132 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230312100091 and 230312100100.

It is not a weakly prime, because it can be changed into another prime (230312100143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115156050056 + 115156050057.

It is an arithmetic number, because the mean of its divisors is an integer number (115156050057).

Almost surely, 2230312100113 is an apocalyptic number.

It is an amenable number.

230312100113 is a deficient number, since it is larger than the sum of its proper divisors (1).

230312100113 is an equidigital number, since it uses as much as digits as its factorization.

230312100113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 230312100113 its reverse (311001213032), we get a palindrome (541313313145).

The spelling of 230312100113 in words is "two hundred thirty billion, three hundred twelve million, one hundred thousand, one hundred thirteen".