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2221131032231 is a prime number
BaseRepresentation
bin100000010100100101101…
…110011110011010100111
321212100010102220012020212
4200110211232132122213
5242342334021012411
64420212402250035
7316320461160026
oct40244556363247
97770112805225
102221131032231
11786a81621291
122ba57835691b
131315b46858c7
14797091528bd
153cb9b63368b
hex20525b9e6a7

2221131032231 has 2 divisors, whose sum is σ = 2221131032232. Its totient is φ = 2221131032230.

The previous prime is 2221131032209. The next prime is 2221131032249. The reversal of 2221131032231 is 1322301311222.

2221131032231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2221131032231 - 222 = 2221126837927 is a prime.

It is a super-3 number, since 3×22211310322313 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2221131032197 and 2221131032206.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2221131032201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110565516115 + 1110565516116.

It is an arithmetic number, because the mean of its divisors is an integer number (1110565516116).

Almost surely, 22221131032231 is an apocalyptic number.

2221131032231 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221131032231 is an equidigital number, since it uses as much as digits as its factorization.

2221131032231 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 2221131032231 its reverse (1322301311222), we get a palindrome (3543432343453).

The spelling of 2221131032231 in words is "two trillion, two hundred twenty-one billion, one hundred thirty-one million, thirty-two thousand, two hundred thirty-one".