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10221200441 is a prime number
BaseRepresentation
bin10011000010011101…
…10010010000111001
3222101022222210002022
421201032302100321
5131413111403231
64410123444225
7511201525124
oct114116622071
928338883068
1010221200441
1143756681a1
121b93086675
13c6b7883ca
146cd6a33bb
153ec503c7b
hex2613b2439

10221200441 has 2 divisors, whose sum is σ = 10221200442. Its totient is φ = 10221200440.

The previous prime is 10221200401. The next prime is 10221200459. The reversal of 10221200441 is 14400212201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10096230400 + 124970041 = 100480^2 + 11179^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10221200441 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10221200401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110600220 + 5110600221.

It is an arithmetic number, because the mean of its divisors is an integer number (5110600221).

Almost surely, 210221200441 is an apocalyptic number.

It is an amenable number.

10221200441 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221200441 is an equidigital number, since it uses as much as digits as its factorization.

10221200441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10221200441 its reverse (14400212201), we get a palindrome (24621412642).

The spelling of 10221200441 in words is "ten billion, two hundred twenty-one million, two hundred thousand, four hundred forty-one".