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103000000013 is a prime number
BaseRepresentation
bin101111111101101000…
…1110100011000001101
3100211212020200010121022
41133323101310120031
53141421000000023
6115152331243525
710304302361141
oct1377321643015
9324766603538
10103000000013
113a7558a6559
1217b665a95a5
1399361c3c91
144db1667221
152a2c7cd7c8
hex17fb47460d

103000000013 has 2 divisors, whose sum is σ = 103000000014. Its totient is φ = 103000000012.

The previous prime is 103000000007. The next prime is 103000000039. The reversal of 103000000013 is 310000000301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67468504009 + 35531496004 = 259747^2 + 188498^2 .

It is an emirp because it is prime and its reverse (310000000301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 103000000013 - 214 = 102999983629 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103000000073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51500000006 + 51500000007.

It is an arithmetic number, because the mean of its divisors is an integer number (51500000007).

Almost surely, 2103000000013 is an apocalyptic number.

It is an amenable number.

103000000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

103000000013 is an equidigital number, since it uses as much as digits as its factorization.

103000000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 8.

Adding to 103000000013 its reverse (310000000301), we get a palindrome (413000000314).

The spelling of 103000000013 in words is "one hundred three billion, thirteen", and thus it is an aban number.