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34361066137 is a prime number
BaseRepresentation
bin100000000000000101…
…000100001010011001
310021200200102000110011
4200000011010022121
51030332413104022
623441340521521
72324333146246
oct400005041231
9107620360404
1034361066137
1113632a20622
1267ab5502a1
133317a458c8
14193d70a5cd
15d61921977
hex800144299

34361066137 has 2 divisors, whose sum is σ = 34361066138. Its totient is φ = 34361066136.

The previous prime is 34361066119. The next prime is 34361066143. The reversal of 34361066137 is 73166016343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31746686976 + 2614379161 = 178176^2 + 51131^2 .

It is a cyclic number.

It is not a de Polignac number, because 34361066137 - 235 = 1327769 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34361066137.

It is not a weakly prime, because it can be changed into another prime (34361066147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17180533068 + 17180533069.

It is an arithmetic number, because the mean of its divisors is an integer number (17180533069).

Almost surely, 234361066137 is an apocalyptic number.

It is an amenable number.

34361066137 is a deficient number, since it is larger than the sum of its proper divisors (1).

34361066137 is an equidigital number, since it uses as much as digits as its factorization.

34361066137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 163296, while the sum is 40.

The spelling of 34361066137 in words is "thirty-four billion, three hundred sixty-one million, sixty-six thousand, one hundred thirty-seven".