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22100133221 is a prime number
BaseRepresentation
bin10100100101010001…
…010100010101100101
32010001012022002102122
4110211101110111211
5330230113230341
614052550315325
71411443014165
oct244521242545
963035262378
1022100133221
119410a49211
124349358b45
13211281130a
1410d91a85a5
1589530c94b
hex525454565

22100133221 has 2 divisors, whose sum is σ = 22100133222. Its totient is φ = 22100133220.

The previous prime is 22100133173. The next prime is 22100133239. The reversal of 22100133221 is 12233100122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12929964100 + 9170169121 = 113710^2 + 95761^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22100133221 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 22100133221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22100133721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050066610 + 11050066611.

It is an arithmetic number, because the mean of its divisors is an integer number (11050066611).

Almost surely, 222100133221 is an apocalyptic number.

It is an amenable number.

22100133221 is a deficient number, since it is larger than the sum of its proper divisors (1).

22100133221 is an equidigital number, since it uses as much as digits as its factorization.

22100133221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 22100133221 its reverse (12233100122), we get a palindrome (34333233343).

The spelling of 22100133221 in words is "twenty-two billion, one hundred million, one hundred thirty-three thousand, two hundred twenty-one".