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34010140037 is a prime number
BaseRepresentation
bin11111101011001010…
…011000110110000101
310020210020002010100012
4133223022120312011
51024123043440122
623342443200005
72312542264136
oct375312306605
9106706063305
1034010140037
1113472923655
126711b16005
133290127023
141908c7bc8d
15d40c037e2
hex7eb298d85

34010140037 has 2 divisors, whose sum is σ = 34010140038. Its totient is φ = 34010140036.

The previous prime is 34010139991. The next prime is 34010140063. The reversal of 34010140037 is 73004101043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33721445956 + 288694081 = 183634^2 + 16991^2 .

It is an emirp because it is prime and its reverse (73004101043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34010140037 - 28 = 34010139781 is a prime.

It is a super-2 number, since 2×340101400372 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34010139994 and 34010140021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34010140067) 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, 17005070018 + 17005070019.

It is an arithmetic number, because the mean of its divisors is an integer number (17005070019).

Almost surely, 234010140037 is an apocalyptic number.

It is an amenable number.

34010140037 is a deficient number, since it is larger than the sum of its proper divisors (1).

34010140037 is an equidigital number, since it uses as much as digits as its factorization.

34010140037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 23.

The spelling of 34010140037 in words is "thirty-four billion, ten million, one hundred forty thousand, thirty-seven".