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122133013141 is a prime number
BaseRepresentation
bin111000110111110110…
…0011110001010010101
3102200020122210220110011
41301233230132022111
54000112022410031
6132035050200221
711552366324416
oct1615754361225
9380218726404
10122133013141
11478839a14a7
121b806123071
13b695093819
145ca874780d
15329c38e6b1
hex1c6fb1e295

122133013141 has 2 divisors, whose sum is σ = 122133013142. Its totient is φ = 122133013140.

The previous prime is 122133013097. The next prime is 122133013151. The reversal of 122133013141 is 141310331221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111775880241 + 10357132900 = 334329^2 + 101770^2 .

It is a cyclic number.

It is not a de Polignac number, because 122133013141 - 211 = 122133011093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122133013151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61066506570 + 61066506571.

It is an arithmetic number, because the mean of its divisors is an integer number (61066506571).

Almost surely, 2122133013141 is an apocalyptic number.

It is an amenable number.

122133013141 is a deficient number, since it is larger than the sum of its proper divisors (1).

122133013141 is an equidigital number, since it uses as much as digits as its factorization.

122133013141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 122133013141 its reverse (141310331221), we get a palindrome (263443344362).

The spelling of 122133013141 in words is "one hundred twenty-two billion, one hundred thirty-three million, thirteen thousand, one hundred forty-one".