Search a number
-
+
122371227361 is a prime number
BaseRepresentation
bin111000111110111100…
…1001011111011100001
3102200212021001102221001
41301331321023323201
54001104013233421
6132114440032001
711561321161465
oct1617571137341
9380767042831
10122371227361
1147996405359
121b871a62601
13b70253a896
145ccc2364a5
1532b3246691
hex1c7de4bee1

122371227361 has 2 divisors, whose sum is σ = 122371227362. Its totient is φ = 122371227360.

The previous prime is 122371227301. The next prime is 122371227373. The reversal of 122371227361 is 163722173221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70913027025 + 51458200336 = 266295^2 + 226844^2 .

It is a cyclic number.

It is not a de Polignac number, because 122371227361 - 211 = 122371225313 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122371227361.

It is not a weakly prime, because it can be changed into another prime (122371227301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61185613680 + 61185613681.

It is an arithmetic number, because the mean of its divisors is an integer number (61185613681).

Almost surely, 2122371227361 is an apocalyptic number.

It is an amenable number.

122371227361 is a deficient number, since it is larger than the sum of its proper divisors (1).

122371227361 is an equidigital number, since it uses as much as digits as its factorization.

122371227361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 42336, while the sum is 37.

The spelling of 122371227361 in words is "one hundred twenty-two billion, three hundred seventy-one million, two hundred twenty-seven thousand, three hundred sixty-one".