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231231001020181 is a prime number
BaseRepresentation
bin110100100100110110101001…
…101011010100011100010101
31010022201110122000220220221121
4310210312221223110130111
5220301442042230121211
62135442015544443541
766463613523026101
oct6444665153243425
91108643560826847
10231231001020181
116774a575994828
1221b2614a4795b1
139c03cb3884546
1441158d6878901
151baecb04b1271
hexd24da9ad4715

231231001020181 has 2 divisors, whose sum is σ = 231231001020182. Its totient is φ = 231231001020180.

The previous prime is 231231001020179. The next prime is 231231001020223. The reversal of 231231001020181 is 181020100132132.

231231001020181 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., 171186712139556 + 60044288880625 = 13083834^2 + 7748825^2 .

It is a cyclic number.

It is not a de Polignac number, because 231231001020181 - 21 = 231231001020179 is a prime.

It is a super-2 number, since 2×2312310010201812 (a number of 30 digits) contains 22 as substring.

Together with 231231001020179, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (231231001020101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115615500510090 + 115615500510091.

It is an arithmetic number, because the mean of its divisors is an integer number (115615500510091).

Almost surely, 2231231001020181 is an apocalyptic number.

It is an amenable number.

231231001020181 is a deficient number, since it is larger than the sum of its proper divisors (1).

231231001020181 is an equidigital number, since it uses as much as digits as its factorization.

231231001020181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 231231001020181 in words is "two hundred thirty-one trillion, two hundred thirty-one billion, one million, twenty thousand, one hundred eighty-one".