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3023123010013 is a prime number
BaseRepresentation
bin101011111111100000001…
…011000101000111011101
3101201000012122021220001101
4223333200023011013131
5344012323442310023
610232445321513101
7431261543412331
oct53774013050735
911630178256041
103023123010013
11a66110143407
12409a99942791
1318c10522b052
14a6469c857c1
15539897511ad
hex2bfe02c51dd

3023123010013 has 2 divisors, whose sum is σ = 3023123010014. Its totient is φ = 3023123010012.

The previous prime is 3023123009917. The next prime is 3023123010023. The reversal of 3023123010013 is 3100103213203.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2639383645924 + 383739364089 = 1624618^2 + 619467^2 .

It is an emirp because it is prime and its reverse (3100103213203) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3023123010013 is a prime.

It is a super-2 number, since 2×30231230100132 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3023123010023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1511561505006 + 1511561505007.

It is an arithmetic number, because the mean of its divisors is an integer number (1511561505007).

Almost surely, 23023123010013 is an apocalyptic number.

It is an amenable number.

3023123010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3023123010013 is an equidigital number, since it uses as much as digits as its factorization.

3023123010013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 3023123010013 its reverse (3100103213203), we get a palindrome (6123226223216).

The spelling of 3023123010013 in words is "three trillion, twenty-three billion, one hundred twenty-three million, ten thousand, thirteen".