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221400112261 is a prime number
BaseRepresentation
bin1100111000110001111…
…0011001110010000101
3210011110202101000200211
43032030132121302011
512111411412043021
6245413152435421
721665333621566
oct3161436316205
9704422330624
10221400112261
1185993656299
1236aaa548b71
1317b54ab46b3
14aa0430816d
155b5c0a83e1
hex338c799c85

221400112261 has 2 divisors, whose sum is σ = 221400112262. Its totient is φ = 221400112260.

The previous prime is 221400112247. The next prime is 221400112321. The reversal of 221400112261 is 162211004122.

221400112261 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., 219759376225 + 1640736036 = 468785^2 + 40506^2 .

It is a cyclic number.

It is not a de Polignac number, because 221400112261 - 211 = 221400110213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221400112961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110700056130 + 110700056131.

It is an arithmetic number, because the mean of its divisors is an integer number (110700056131).

Almost surely, 2221400112261 is an apocalyptic number.

It is an amenable number.

221400112261 is a deficient number, since it is larger than the sum of its proper divisors (1).

221400112261 is an equidigital number, since it uses as much as digits as its factorization.

221400112261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 221400112261 its reverse (162211004122), we get a palindrome (383611116383).

The spelling of 221400112261 in words is "two hundred twenty-one billion, four hundred million, one hundred twelve thousand, two hundred sixty-one".