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100078000339 is a prime number
BaseRepresentation
bin101110100110100011…
…1010001100011010011
3100120022121102011121011
41131031013101203103
53114424432002324
6113550350511351
710142011652512
oct1351507214323
9316277364534
10100078000339
1139496470999
121748bb05557
13958ba1c8a5
144bb5566679
15290aee5c94
hex174d1d18d3

100078000339 has 2 divisors, whose sum is σ = 100078000340. Its totient is φ = 100078000338.

The previous prime is 100078000261. The next prime is 100078000343. The reversal of 100078000339 is 933000870001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100078000339 - 229 = 99541129427 is a prime.

It is a super-5 number, since 5×1000780003395 (a number of 56 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 100078000339.

It is not a weakly prime, because it can be changed into another prime (100078000739) 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, 50039000169 + 50039000170.

It is an arithmetic number, because the mean of its divisors is an integer number (50039000170).

Almost surely, 2100078000339 is an apocalyptic number.

100078000339 is a deficient number, since it is larger than the sum of its proper divisors (1).

100078000339 is an equidigital number, since it uses as much as digits as its factorization.

100078000339 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 31.

The spelling of 100078000339 in words is "one hundred billion, seventy-eight million, three hundred thirty-nine", and thus it is an aban number.