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231313101101 is a prime number
BaseRepresentation
bin1101011101101101010…
…1011101000100101101
3211010001121102000221122
43113123111131010231
512242212123213401
6254132550310325
722466103626645
oct3273325350455
9733047360848
10231313101101
118a110240555
12389b63583a5
1318a74758474
14b2a4a9b525
15603c4ca21b
hex35db55d12d

231313101101 has 2 divisors, whose sum is σ = 231313101102. Its totient is φ = 231313101100.

The previous prime is 231313101083. The next prime is 231313101161. The reversal of 231313101101 is 101101313132.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 127452570025 + 103860531076 = 357005^2 + 322274^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-231313101101 is a prime.

It is a super-2 number, since 2×2313131011012 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 231313101101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (231313101161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115656550550 + 115656550551.

It is an arithmetic number, because the mean of its divisors is an integer number (115656550551).

Almost surely, 2231313101101 is an apocalyptic number.

It is an amenable number.

231313101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

231313101101 is an equidigital number, since it uses as much as digits as its factorization.

231313101101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 231313101101 its reverse (101101313132), we get a palindrome (332414414233).

The spelling of 231313101101 in words is "two hundred thirty-one billion, three hundred thirteen million, one hundred one thousand, one hundred one".