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10222241441 is a prime number
BaseRepresentation
bin10011000010100101…
…10000011010100001
3222101101221200001212
421201102300122201
5131413343211231
64410202035505
7511213422116
oct114122603241
928341850055
1010222241441
114376209325
121b934a8b95
13c6ba61199
146cd89490d
153ec65c42b
hex2614b06a1

10222241441 has 2 divisors, whose sum is σ = 10222241442. Its totient is φ = 10222241440.

The previous prime is 10222241431. The next prime is 10222241479. The reversal of 10222241441 is 14414222201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7827117841 + 2395123600 = 88471^2 + 48940^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10222241441 is a prime.

It is not a weakly prime, because it can be changed into another prime (10222241431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111120720 + 5111120721.

It is an arithmetic number, because the mean of its divisors is an integer number (5111120721).

Almost surely, 210222241441 is an apocalyptic number.

It is an amenable number.

10222241441 is a deficient number, since it is larger than the sum of its proper divisors (1).

10222241441 is an equidigital number, since it uses as much as digits as its factorization.

10222241441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 10222241441 its reverse (14414222201), we get a palindrome (24636463642).

The spelling of 10222241441 in words is "ten billion, two hundred twenty-two million, two hundred forty-one thousand, four hundred forty-one".