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103002102013 is a prime number
BaseRepresentation
bin101111111101101100…
…1110101100011111101
3100211212101121221000011
41133323121311203331
53141422014231023
6115152444303221
710304326264336
oct1377331654375
9324771557004
10103002102013
113a757001848
1217b67241b11
13993677b975
144db1a5328d
152a2ca9650d
hex17fb6758fd

103002102013 has 2 divisors, whose sum is σ = 103002102014. Its totient is φ = 103002102012.

The previous prime is 103002101987. The next prime is 103002102037. The reversal of 103002102013 is 310201200301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78928407364 + 24073694649 = 280942^2 + 155157^2 .

It is an emirp because it is prime and its reverse (310201200301) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103002102013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103002101984 and 103002102002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103002102613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51501051006 + 51501051007.

It is an arithmetic number, because the mean of its divisors is an integer number (51501051007).

Almost surely, 2103002102013 is an apocalyptic number.

It is an amenable number.

103002102013 is a deficient number, since it is larger than the sum of its proper divisors (1).

103002102013 is an equidigital number, since it uses as much as digits as its factorization.

103002102013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 103002102013 its reverse (310201200301), we get a palindrome (413203302314).

The spelling of 103002102013 in words is "one hundred three billion, two million, one hundred two thousand, thirteen".