Search a number
-
+
2122120229 is a prime number
BaseRepresentation
bin111111001111100…
…1111110000100101
312110220010212200112
41332133033300211
513321230321404
6550324222405
7103405503305
oct17637176045
95426125615
102122120229
11999977379
124b283aa05
1327a864358
14161ba7605
15c648656e
hex7e7cfc25

2122120229 has 2 divisors, whose sum is σ = 2122120230. Its totient is φ = 2122120228.

The previous prime is 2122120157. The next prime is 2122120249. The reversal of 2122120229 is 9220212212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2099747329 + 22372900 = 45823^2 + 4730^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2122120229 is a prime.

It is a super-3 number, since 3×21221202293 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122120249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061060114 + 1061060115.

It is an arithmetic number, because the mean of its divisors is an integer number (1061060115).

Almost surely, 22122120229 is an apocalyptic number.

It is an amenable number.

2122120229 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122120229 is an equidigital number, since it uses as much as digits as its factorization.

2122120229 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 2122120229 is about 46066.4761947341. The cubic root of 2122120229 is about 1285.0597718314.

The spelling of 2122120229 in words is "two billion, one hundred twenty-two million, one hundred twenty thousand, two hundred twenty-nine".