Search a number
-
+
102001022199977 is a prime number
BaseRepresentation
bin10111001100010011110110…
…101100011110100010101001
3111101011012110121121112000012
4113030103312230132202221
5101332141043140344402
61000534342301021305
730325221263202215
oct2714236654364251
9441135417545005
10102001022199977
112a556432963a2a
12b534593b54835
1344bb8693bb074
141b28c3934b945
15bbd4323b6452
hex5cc4f6b1e8a9

102001022199977 has 2 divisors, whose sum is σ = 102001022199978. Its totient is φ = 102001022199976.

The previous prime is 102001022199943. The next prime is 102001022200039. The reversal of 102001022199977 is 779991220100201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73009915733056 + 28991106466921 = 8544584^2 + 5384339^2 .

It is a cyclic number.

It is not a de Polignac number, because 102001022199977 - 210 = 102001022198953 is a prime.

It is not a weakly prime, because it can be changed into another prime (102001022199277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51000511099988 + 51000511099989.

It is an arithmetic number, because the mean of its divisors is an integer number (51000511099989).

Almost surely, 2102001022199977 is an apocalyptic number.

It is an amenable number.

102001022199977 is a deficient number, since it is larger than the sum of its proper divisors (1).

102001022199977 is an equidigital number, since it uses as much as digits as its factorization.

102001022199977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 285768, while the sum is 50.

The spelling of 102001022199977 in words is "one hundred two trillion, one billion, twenty-two million, one hundred ninety-nine thousand, nine hundred seventy-seven".