Search a number
-
+
122200110001 is a prime number
BaseRepresentation
bin111000111001110110…
…0011011001110110001
3102200102100001210001001
41301303230123032301
54000231212010001
6132045444242001
711554142540164
oct1616354331661
9380370053031
10122200110001
114790885a352
121b8246a0301
13b6a5c56ac8
145cb3611adb
1532a31e5001
hex1c73b1b3b1

122200110001 has 2 divisors, whose sum is σ = 122200110002. Its totient is φ = 122200110000.

The previous prime is 122200109947. The next prime is 122200110017. The reversal of 122200110001 is 100011002221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83706062400 + 38494047601 = 289320^2 + 196199^2 .

It is a cyclic number.

It is not a de Polignac number, because 122200110001 - 27 = 122200109873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122200110001.

It is not a weakly prime, because it can be changed into another prime (122200110061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61100055000 + 61100055001.

It is an arithmetic number, because the mean of its divisors is an integer number (61100055001).

Almost surely, 2122200110001 is an apocalyptic number.

It is an amenable number.

122200110001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122200110001 is an equidigital number, since it uses as much as digits as its factorization.

122200110001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 122200110001 its reverse (100011002221), we get a palindrome (222211112222).

The spelling of 122200110001 in words is "one hundred twenty-two billion, two hundred million, one hundred ten thousand, one".