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2231213188961 is a prime number
BaseRepresentation
bin100000011101111110101…
…010110110011101100001
321220022011002020211020002
4200131332222312131201
5243024011034021321
64425001042025345
7320125354120001
oct40357652663541
97808132224202
102231213188961
1179028574a919
12300510948255
131325303aa013
1479dc4180001
153d08b81e20b
hex2077eab6761

2231213188961 has 2 divisors, whose sum is σ = 2231213188962. Its totient is φ = 2231213188960.

The previous prime is 2231213188951. The next prime is 2231213188987. The reversal of 2231213188961 is 1698813121322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2101685178961 + 129528010000 = 1449719^2 + 359900^2 .

It is a cyclic number.

It is not a de Polignac number, because 2231213188961 - 210 = 2231213187937 is a prime.

It is a super-3 number, since 3×22312131889613 (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2231213188921) 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, 1115606594480 + 1115606594481.

It is an arithmetic number, because the mean of its divisors is an integer number (1115606594481).

Almost surely, 22231213188961 is an apocalyptic number.

It is an amenable number.

2231213188961 is a deficient number, since it is larger than the sum of its proper divisors (1).

2231213188961 is an equidigital number, since it uses as much as digits as its factorization.

2231213188961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 248832, while the sum is 47.

The spelling of 2231213188961 in words is "two trillion, two hundred thirty-one billion, two hundred thirteen million, one hundred eighty-eight thousand, nine hundred sixty-one".