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117210013 is a prime number
BaseRepresentation
bin1101111110001…
…11101110011101
322011112212220121
412333013232131
5220001210023
615344114541
72622161104
oct677075635
9264485817
10117210013
1160186688
1233305a51
131b38b04b
14117d103b
15a453d5d
hex6fc7b9d

117210013 has 2 divisors, whose sum is σ = 117210014. Its totient is φ = 117210012.

The previous prime is 117209999. The next prime is 117210029. The reversal of 117210013 is 310012711.

It is an a-pointer prime, because the next prime (117210029) can be obtained adding 117210013 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93180409 + 24029604 = 9653^2 + 4902^2 .

It is a cyclic number.

It is not a de Polignac number, because 117210013 - 29 = 117209501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (117210073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 58605006 + 58605007.

It is an arithmetic number, because the mean of its divisors is an integer number (58605007).

Almost surely, 2117210013 is an apocalyptic number.

It is an amenable number.

117210013 is a deficient number, since it is larger than the sum of its proper divisors (1).

117210013 is an equidigital number, since it uses as much as digits as its factorization.

117210013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 117210013 is about 10826.3573282984. The cubic root of 117210013 is about 489.3897901761.

Adding to 117210013 its reverse (310012711), we get a palindrome (427222724).

The spelling of 117210013 in words is "one hundred seventeen million, two hundred ten thousand, thirteen".