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2221112112181 is a prime number
BaseRepresentation
bin100000010100100100100…
…110010011010000110101
321212100002010021221211021
4200110210212103100311
5242342314200042211
64420210444541141
7316320141306364
oct40244446232065
97770063257737
102221112112181
11786a71979386
122ba571b517b1
131315b078cc01
14797068297db
153cb99b47771
hex20524993435

2221112112181 has 2 divisors, whose sum is σ = 2221112112182. Its totient is φ = 2221112112180.

The previous prime is 2221112112173. The next prime is 2221112112187. The reversal of 2221112112181 is 1812112111222.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1771984283281 + 449127828900 = 1331159^2 + 670170^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221112112181 - 23 = 2221112112173 is a prime.

It is a super-2 number, since 2×22211121121812 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2221112112187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110556056090 + 1110556056091.

It is an arithmetic number, because the mean of its divisors is an integer number (1110556056091).

Almost surely, 22221112112181 is an apocalyptic number.

It is an amenable number.

2221112112181 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221112112181 is an equidigital number, since it uses as much as digits as its factorization.

2221112112181 is an evil number, because the sum of its binary digits is even.

The product of its digits is 256, while the sum is 25.

The spelling of 2221112112181 in words is "two trillion, two hundred twenty-one billion, one hundred twelve million, one hundred twelve thousand, one hundred eighty-one".