Search a number
-
+
1001055000217 is a prime number
BaseRepresentation
bin11101001000100111000…
…01110001011010011001
310112200220020120222201011
432210103201301122121
5112400130040001332
62043513414453521
7132216035051266
oct16442341613231
93480806528634
101001055000217
113565aa4a51a8
121420173642a1
1373525a2201c
14366465d026d
151b08e1ade47
hexe913871699

1001055000217 has 2 divisors, whose sum is σ = 1001055000218. Its totient is φ = 1001055000216.

The previous prime is 1001055000193. The next prime is 1001055000221. The reversal of 1001055000217 is 7120005501001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 881009381641 + 120045618576 = 938621^2 + 346476^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1001055000217 is a prime.

It is a super-2 number, since 2×10010550002172 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1001055000247) 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, 500527500108 + 500527500109.

It is an arithmetic number, because the mean of its divisors is an integer number (500527500109).

Almost surely, 21001055000217 is an apocalyptic number.

It is an amenable number.

1001055000217 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001055000217 is an equidigital number, since it uses as much as digits as its factorization.

1001055000217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 350, while the sum is 22.

The spelling of 1001055000217 in words is "one trillion, one billion, fifty-five million, two hundred seventeen", and thus it is an aban number.