Search a number
-
+
101947167478313 is a prime number
BaseRepresentation
bin10111001011100001101100…
…101101000001001000101001
3111100222001110101110012100022
4113023201230231001020221
5101330300244333301223
61000453514315250225
730321303563465663
oct2713415455011051
9440861411405308
10101947167478313
112a5356073144a3
12b526064149975
1344b6765b64661
141b263aaac3533
15bbbd2e3e6ac8
hex5cb86cb41229

101947167478313 has 2 divisors, whose sum is σ = 101947167478314. Its totient is φ = 101947167478312.

The previous prime is 101947167478301. The next prime is 101947167478333. The reversal of 101947167478313 is 313874761749101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99228055523584 + 2719111954729 = 9961328^2 + 1648973^2 .

It is a cyclic number.

It is not a de Polignac number, because 101947167478313 - 232 = 101942872511017 is a prime.

It is not a weakly prime, because it can be changed into another prime (101947167478333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50973583739156 + 50973583739157.

It is an arithmetic number, because the mean of its divisors is an integer number (50973583739157).

Almost surely, 2101947167478313 is an apocalyptic number.

It is an amenable number.

101947167478313 is a deficient number, since it is larger than the sum of its proper divisors (1).

101947167478313 is an equidigital number, since it uses as much as digits as its factorization.

101947167478313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21337344, while the sum is 62.

The spelling of 101947167478313 in words is "one hundred one trillion, nine hundred forty-seven billion, one hundred sixty-seven million, four hundred seventy-eight thousand, three hundred thirteen".