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10338603553 is a prime number
BaseRepresentation
bin10011010000011101…
…01001001000100001
3222200111220110212201
421220032221020201
5132133140303203
64425520053201
7514125452215
oct115016511041
928614813781
1010338603553
114425965963
122006464201
13c89bb32c5
14701104945
15407994e1d
hex2683a9221

10338603553 has 2 divisors, whose sum is σ = 10338603554. Its totient is φ = 10338603552.

The previous prime is 10338603491. The next prime is 10338603581. The reversal of 10338603553 is 35530683301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8959001104 + 1379602449 = 94652^2 + 37143^2 .

It is an emirp because it is prime and its reverse (35530683301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10338603553 - 225 = 10305049121 is a prime.

It is a super-2 number, since 2×103386035532 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10338609553) 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, 5169301776 + 5169301777.

It is an arithmetic number, because the mean of its divisors is an integer number (5169301777).

Almost surely, 210338603553 is an apocalyptic number.

It is an amenable number.

10338603553 is a deficient number, since it is larger than the sum of its proper divisors (1).

10338603553 is an equidigital number, since it uses as much as digits as its factorization.

10338603553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 97200, while the sum is 37.

The spelling of 10338603553 in words is "ten billion, three hundred thirty-eight million, six hundred three thousand, five hundred fifty-three".