Search a number
-
+
101873894977 is a prime number
BaseRepresentation
bin101111011100000101…
…0000100011001000001
3100201221202201001220101
41132320022010121001
53132114204114402
6114444503042401
710234346551111
oct1367012043101
9321852631811
10101873894977
113a228181138
12178b1440401
1397b6b0313a
144d05c91041
1529b39dcb87
hex17b8284641

101873894977 has 2 divisors, whose sum is σ = 101873894978. Its totient is φ = 101873894976.

The previous prime is 101873894957. The next prime is 101873894989. The reversal of 101873894977 is 779498378101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85877716401 + 15996178576 = 293049^2 + 126476^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101873894977 is a prime.

It is not a weakly prime, because it can be changed into another prime (101873894957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50936947488 + 50936947489.

It is an arithmetic number, because the mean of its divisors is an integer number (50936947489).

Almost surely, 2101873894977 is an apocalyptic number.

It is an amenable number.

101873894977 is a deficient number, since it is larger than the sum of its proper divisors (1).

101873894977 is an equidigital number, since it uses as much as digits as its factorization.

101873894977 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 64.

The spelling of 101873894977 in words is "one hundred one billion, eight hundred seventy-three million, eight hundred ninety-four thousand, nine hundred seventy-seven".