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10444022413337 is a prime number
BaseRepresentation
bin1001011111111011000000…
…1111101111100000011001
31100222102211212201221002102
42113332300033233200121
52332103324214211322
634113530114213145
72125361416522562
oct227766017574031
940872755657072
1010444022413337
1133673154170a7
121208155b841b5
135a9b36cb7546
142816c9ba9169
15131a16524792
hex97fb03ef819

10444022413337 has 2 divisors, whose sum is σ = 10444022413338. Its totient is φ = 10444022413336.

The previous prime is 10444022413313. The next prime is 10444022413343. The reversal of 10444022413337 is 73331422044401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10323343296016 + 120679117321 = 3212996^2 + 347389^2 .

It is a cyclic number.

It is not a de Polignac number, because 10444022413337 - 230 = 10442948671513 is a prime.

It is a super-2 number, since 2×104440224133372 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10444022413337.

It is not a weakly prime, because it can be changed into another prime (10444022413037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5222011206668 + 5222011206669.

It is an arithmetic number, because the mean of its divisors is an integer number (5222011206669).

Almost surely, 210444022413337 is an apocalyptic number.

It is an amenable number.

10444022413337 is a deficient number, since it is larger than the sum of its proper divisors (1).

10444022413337 is an equidigital number, since it uses as much as digits as its factorization.

10444022413337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 193536, while the sum is 38.

Adding to 10444022413337 its reverse (73331422044401), we get a palindrome (83775444457738).

The spelling of 10444022413337 in words is "ten trillion, four hundred forty-four billion, twenty-two million, four hundred thirteen thousand, three hundred thirty-seven".