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231123105656561 is a prime number
BaseRepresentation
bin110100100011010010001010…
…100111001010111011110001
31010022100011010121202112221002
4310203102022213022323301
5220243210110022002221
62135320253340411345
766453044005412546
oct6443221247127361
91108304117675832
10231123105656561
116770883885a128
1221b09258546b55
139bc6a7a409911
1441105bcdcabcd
151bac09804980b
hexd2348a9caef1

231123105656561 has 2 divisors, whose sum is σ = 231123105656562. Its totient is φ = 231123105656560.

The previous prime is 231123105656549. The next prime is 231123105656623. The reversal of 231123105656561 is 165656501321132.

231123105656561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 179125031737600 + 51998073918961 = 13383760^2 + 7210969^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-231123105656561 is a prime.

It is not a weakly prime, because it can be changed into another prime (231123105646561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115561552828280 + 115561552828281.

It is an arithmetic number, because the mean of its divisors is an integer number (115561552828281).

Almost surely, 2231123105656561 is an apocalyptic number.

It is an amenable number.

231123105656561 is a deficient number, since it is larger than the sum of its proper divisors (1).

231123105656561 is an equidigital number, since it uses as much as digits as its factorization.

231123105656561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972000, while the sum is 47.

Adding to 231123105656561 its reverse (165656501321132), we get a palindrome (396779606977693).

The spelling of 231123105656561 in words is "two hundred thirty-one trillion, one hundred twenty-three billion, one hundred five million, six hundred fifty-six thousand, five hundred sixty-one".