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10100003339 is a prime number
BaseRepresentation
bin10010110100000000…
…11101001000001011
3222001212221022220202
421122000131020023
5131141100101324
64350114042415
7505200416606
oct113200351013
928055838822
1010100003339
114313208aa8
121b5a57940b
13c4c63264a
146bb55533d
153e1a638ae
hex25a01d20b

10100003339 has 2 divisors, whose sum is σ = 10100003340. Its totient is φ = 10100003338.

The previous prime is 10100003311. The next prime is 10100003341. The reversal of 10100003339 is 93330000101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10100003339 - 212 = 10099999243 is a prime.

It is a super-2 number, since 2×101000033392 (a number of 21 digits) contains 22 as substring.

Together with 10100003341, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10100003339.

It is not a weakly prime, because it can be changed into another prime (10100008339) 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, 5050001669 + 5050001670.

It is an arithmetic number, because the mean of its divisors is an integer number (5050001670).

Almost surely, 210100003339 is an apocalyptic number.

10100003339 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100003339 is an equidigital number, since it uses as much as digits as its factorization.

10100003339 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 20.

The spelling of 10100003339 in words is "ten billion, one hundred million, three thousand, three hundred thirty-nine".