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102145741213 is a prime number
BaseRepresentation
bin101111100100001011…
…1000101000110011101
3100202122201020021211111
41133020113011012131
53133143302204323
6114531453422021
710244160321535
oct1371027050635
9322581207744
10102145741213
113a35767624a
121796849a911
13982b2243b9
144d300164c5
1529cc7d9c0d
hex17c85c519d

102145741213 has 2 divisors, whose sum is σ = 102145741214. Its totient is φ = 102145741212.

The previous prime is 102145741211. The next prime is 102145741277. The reversal of 102145741213 is 312147541201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91284349689 + 10861391524 = 302133^2 + 104218^2 .

It is an emirp because it is prime and its reverse (312147541201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102145741213 - 21 = 102145741211 is a prime.

It is a super-2 number, since 2×1021457412132 (a number of 23 digits) contains 22 as substring.

Together with 102145741211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102145741211) 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, 51072870606 + 51072870607.

It is an arithmetic number, because the mean of its divisors is an integer number (51072870607).

Almost surely, 2102145741213 is an apocalyptic number.

It is an amenable number.

102145741213 is a deficient number, since it is larger than the sum of its proper divisors (1).

102145741213 is an equidigital number, since it uses as much as digits as its factorization.

102145741213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 31.

The spelling of 102145741213 in words is "one hundred two billion, one hundred forty-five million, seven hundred forty-one thousand, two hundred thirteen".