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231132200201101 is a prime number
BaseRepresentation
bin110100100011011010101000…
…101100000110101110001101
31010022101000121102202021200001
4310203122220230012232031
5220243332221222413401
62135324400020204301
766453515246644633
oct6443325054065615
91108330542667601
10231132200201101
1167711685456041
1221b0ab76239691
139bc7899640514
144110c02bb3353
151bac42b69e601
hexd236a8b06b8d

231132200201101 has 2 divisors, whose sum is σ = 231132200201102. Its totient is φ = 231132200201100.

The previous prime is 231132200201057. The next prime is 231132200201137. The reversal of 231132200201101 is 101102002231132.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121263020778601 + 109869179422500 = 11011949^2 + 10481850^2 .

It is a cyclic number.

It is not a de Polignac number, because 231132200201101 - 223 = 231132191812493 is a prime.

It is a super-3 number, since 3×2311322002011013 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (231132201201101) 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 as a sum of consecutive naturals, namely, 115566100100550 + 115566100100551.

It is an arithmetic number, because the mean of its divisors is an integer number (115566100100551).

Almost surely, 2231132200201101 is an apocalyptic number.

It is an amenable number.

231132200201101 is a deficient number, since it is larger than the sum of its proper divisors (1).

231132200201101 is an equidigital number, since it uses as much as digits as its factorization.

231132200201101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 231132200201101 its reverse (101102002231132), we get a palindrome (332234202432233).

The spelling of 231132200201101 in words is "two hundred thirty-one trillion, one hundred thirty-two billion, two hundred million, two hundred one thousand, one hundred one".