Search a number
-
+
101193921242917 is a prime number
BaseRepresentation
bin10111000000100100001011…
…101110101010011100100101
3111021022001012100202210011221
4113000210023232222130211
5101230430122314233132
6555115502354300341
730213006463231366
oct2700441356523445
9437261170683157
10101193921242917
112a275112470088
12b4240875876b1
13446071324b469
141adbb51ca9b6d
15ba74459b6e97
hex5c090bbaa725

101193921242917 has 2 divisors, whose sum is σ = 101193921242918. Its totient is φ = 101193921242916.

The previous prime is 101193921242893. The next prime is 101193921242933. The reversal of 101193921242917 is 719242129391101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94529748014881 + 6664173228036 = 9722641^2 + 2581506^2 .

It is an emirp because it is prime and its reverse (719242129391101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101193921242917 - 219 = 101193920718629 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101193921242957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50596960621458 + 50596960621459.

It is an arithmetic number, because the mean of its divisors is an integer number (50596960621459).

Almost surely, 2101193921242917 is an apocalyptic number.

It is an amenable number.

101193921242917 is a deficient number, since it is larger than the sum of its proper divisors (1).

101193921242917 is an equidigital number, since it uses as much as digits as its factorization.

101193921242917 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 489888, while the sum is 52.

The spelling of 101193921242917 in words is "one hundred one trillion, one hundred ninety-three billion, nine hundred twenty-one million, two hundred forty-two thousand, nine hundred seventeen".