Search a number
-
+
2122224101 is a prime number
BaseRepresentation
bin111111001111110…
…1001000111100101
312110220100011011122
41332133221013211
513321242132401
6550330343325
7103406415164
oct17637510745
95426304148
102122224101
11999a38418
124b288ab45
1327a89c70a
14161bd33db
15c64a721b
hex7e7e91e5

2122224101 has 2 divisors, whose sum is σ = 2122224102. Its totient is φ = 2122224100.

The previous prime is 2122224079. The next prime is 2122224131. The reversal of 2122224101 is 1014222212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1359028225 + 763195876 = 36865^2 + 27626^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122224101 - 218 = 2121961957 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2122224101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122224131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061112050 + 1061112051.

It is an arithmetic number, because the mean of its divisors is an integer number (1061112051).

Almost surely, 22122224101 is an apocalyptic number.

It is an amenable number.

2122224101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122224101 is an equidigital number, since it uses as much as digits as its factorization.

2122224101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2122224101 is about 46067.6035951513. The cubic root of 2122224101 is about 1285.0807382136.

Adding to 2122224101 its reverse (1014222212), we get a palindrome (3136446313).

The spelling of 2122224101 in words is "two billion, one hundred twenty-two million, two hundred twenty-four thousand, one hundred one".