Search a number
-
+
1222313101 is a prime number
BaseRepresentation
bin100100011011011…
…0000010010001101
310011011222221100121
41020312300102031
510000403004401
6321142224541
742201330022
oct11066602215
93134887317
101222313101
11577a66a19
122a1425151
131663076b9
14b849b549
1572496ca1
hex48db048d

1222313101 has 2 divisors, whose sum is σ = 1222313102. Its totient is φ = 1222313100.

The previous prime is 1222313069. The next prime is 1222313117. The reversal of 1222313101 is 1013132221.

It is an a-pointer prime, because the next prime (1222313117) can be obtained adding 1222313101 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 967272201 + 255040900 = 31101^2 + 15970^2 .

It is a cyclic number.

It is not a de Polignac number, because 1222313101 - 25 = 1222313069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1222313171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 611156550 + 611156551.

It is an arithmetic number, because the mean of its divisors is an integer number (611156551).

Almost surely, 21222313101 is an apocalyptic number.

It is an amenable number.

1222313101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1222313101 is an equidigital number, since it uses as much as digits as its factorization.

1222313101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1222313101 is about 34961.5946575668. The cubic root of 1222313101 is about 1069.2046090509.

Adding to 1222313101 its reverse (1013132221), we get a palindrome (2235445322).

The spelling of 1222313101 in words is "one billion, two hundred twenty-two million, three hundred thirteen thousand, one hundred one".