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34313010037 is a prime number
BaseRepresentation
bin11111111101001101…
…101111101101110101
310021120022222111212121
4133331031233231311
51030233112310122
623432502515541
72323210526065
oct377515575565
9107508874777
1034313010037
1113608888339
126797435bb1
13330aabb247
14193719b3a5
15d5c5ccbc7
hex7fd36fb75

34313010037 has 2 divisors, whose sum is σ = 34313010038. Its totient is φ = 34313010036.

The previous prime is 34313009971. The next prime is 34313010041. The reversal of 34313010037 is 73001031343.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23769622276 + 10543387761 = 154174^2 + 102681^2 .

It is an emirp because it is prime and its reverse (73001031343) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34313010037 - 27 = 34313009909 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34313009993 and 34313010020.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34313010937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17156505018 + 17156505019.

It is an arithmetic number, because the mean of its divisors is an integer number (17156505019).

Almost surely, 234313010037 is an apocalyptic number.

It is an amenable number.

34313010037 is a deficient number, since it is larger than the sum of its proper divisors (1).

34313010037 is an equidigital number, since it uses as much as digits as its factorization.

34313010037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2268, while the sum is 25.

The spelling of 34313010037 in words is "thirty-four billion, three hundred thirteen million, ten thousand, thirty-seven".