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13900013 is a prime number
BaseRepresentation
bin110101000001…
…100011101101
3222011012020022
4311001203231
512024300023
61213531525
7226101551
oct65014355
928135208
1013900013
117934316
1247a3ba5
132b58a7a
141bbb861
1513487c8
hexd418ed

13900013 has 2 divisors, whose sum is σ = 13900014. Its totient is φ = 13900012.

The previous prime is 13899989. The next prime is 13900043. The reversal of 13900013 is 31000931.

13900013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10738729 + 3161284 = 3277^2 + 1778^2 .

It is a cyclic number.

It is not a de Polignac number, because 13900013 - 28 = 13899757 is a prime.

It is a super-2 number, since 2×139000132 = 386420722800338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13899964 and 13900000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13900043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6950006 + 6950007.

It is an arithmetic number, because the mean of its divisors is an integer number (6950007).

Almost surely, 213900013 is an apocalyptic number.

It is an amenable number.

13900013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13900013 is an equidigital number, since it uses as much as digits as its factorization.

13900013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 17.

The square root of 13900013 is about 3728.2721198968. The cubic root of 13900013 is about 240.4390862367.

Adding to 13900013 its reverse (31000931), we get a palindrome (44900944).

The spelling of 13900013 in words is "thirteen million, nine hundred thousand, thirteen".