Search a number
-
+
1222313231129 is a prime number
BaseRepresentation
bin10001110010010111100…
…010111100001100011001
311022212000002222200210012
4101302113202330030121
5130011244141344004
62333304542331305
7154211030016014
oct21622742741431
94285002880705
101222313231129
1143141aa53981
12178a86289b35
138b3572bac53
1443235b2437b
1521bdda8d46e
hex11c978bc319

1222313231129 has 2 divisors, whose sum is σ = 1222313231130. Its totient is φ = 1222313231128.

The previous prime is 1222313231063. The next prime is 1222313231141. The reversal of 1222313231129 is 9211323132221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 893548606729 + 328764624400 = 945277^2 + 573380^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1222313231129 is a prime.

It is a super-2 number, since 2×12223132311292 (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1222313231095 and 1222313231104.

It is not a weakly prime, because it can be changed into another prime (1222313231149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 611156615564 + 611156615565.

It is an arithmetic number, because the mean of its divisors is an integer number (611156615565).

Almost surely, 21222313231129 is an apocalyptic number.

It is an amenable number.

1222313231129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1222313231129 is an equidigital number, since it uses as much as digits as its factorization.

1222313231129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7776, while the sum is 32.

The spelling of 1222313231129 in words is "one trillion, two hundred twenty-two billion, three hundred thirteen million, two hundred thirty-one thousand, one hundred twenty-nine".