Search a number
-
+
20121222269 is a prime number
BaseRepresentation
bin10010101111010100…
…010111110001111101
31220221021121222221102
4102233110113301331
5312202013103034
613124335342445
71311423365411
oct225724276175
956837558842
1020121222269
1185959a6115
123a96681a25
131b8883bca5
14d8c43cd41
157cb71397e
hex4af517c7d

20121222269 has 2 divisors, whose sum is σ = 20121222270. Its totient is φ = 20121222268.

The previous prime is 20121222263. The next prime is 20121222271. The reversal of 20121222269 is 96222212102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15584526244 + 4536696025 = 124838^2 + 67355^2 .

It is a cyclic number.

It is not a de Polignac number, because 20121222269 - 232 = 15826254973 is a prime.

It is a super-2 number, since 2×201212222692 (a number of 21 digits) contains 22 as substring.

Together with 20121222271, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20121222263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10060611134 + 10060611135.

It is an arithmetic number, because the mean of its divisors is an integer number (10060611135).

Almost surely, 220121222269 is an apocalyptic number.

It is an amenable number.

20121222269 is a deficient number, since it is larger than the sum of its proper divisors (1).

20121222269 is an equidigital number, since it uses as much as digits as its factorization.

20121222269 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 20121222269 in words is "twenty billion, one hundred twenty-one million, two hundred twenty-two thousand, two hundred sixty-nine".