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103213313029 is a prime number
BaseRepresentation
bin110000000011111111…
…1100010110000000101
3100212102010001120001101
41200013333202300011
53142340102004104
6115225431300101
710312502454031
oct1400777426005
9325363046041
10103213313029
113a855251802
1218005b1a631
13996b45cab8
144dd1b131c1
152a413b75a4
hex1807fe2c05

103213313029 has 2 divisors, whose sum is σ = 103213313030. Its totient is φ = 103213313028.

The previous prime is 103213313023. The next prime is 103213313123. The reversal of 103213313029 is 920313312301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72762365025 + 30450948004 = 269745^2 + 174502^2 .

It is an emirp because it is prime and its reverse (920313312301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 103213313029 - 25 = 103213312997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103213312988 and 103213313006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103213313023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51606656514 + 51606656515.

It is an arithmetic number, because the mean of its divisors is an integer number (51606656515).

Almost surely, 2103213313029 is an apocalyptic number.

It is an amenable number.

103213313029 is a deficient number, since it is larger than the sum of its proper divisors (1).

103213313029 is an equidigital number, since it uses as much as digits as its factorization.

103213313029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 28.

The spelling of 103213313029 in words is "one hundred three billion, two hundred thirteen million, three hundred thirteen thousand, twenty-nine".