Search a number
-
+
22113130129 is a prime number
BaseRepresentation
bin10100100110000010…
…111001011010010001
32010002002202101211121
4110212002321122101
5330241430131004
614054133042241
71411661335066
oct244602713221
963062671747
1022113130129
119418315a62
124351786381
132115411cac
1410dabccc6d
15896528854
hex5260b9691

22113130129 has 2 divisors, whose sum is σ = 22113130130. Its totient is φ = 22113130128.

The previous prime is 22113130099. The next prime is 22113130147. The reversal of 22113130129 is 92103131122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15115473025 + 6997657104 = 122945^2 + 83652^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22113130129 is a prime.

It is a super-3 number, since 3×221131301293 (a number of 32 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (22113130159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11056565064 + 11056565065.

It is an arithmetic number, because the mean of its divisors is an integer number (11056565065).

Almost surely, 222113130129 is an apocalyptic number.

It is an amenable number.

22113130129 is a deficient number, since it is larger than the sum of its proper divisors (1).

22113130129 is an equidigital number, since it uses as much as digits as its factorization.

22113130129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 25.

The spelling of 22113130129 in words is "twenty-two billion, one hundred thirteen million, one hundred thirty thousand, one hundred twenty-nine".