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1221133117 is a prime number
BaseRepresentation
bin100100011001001…
…0000001100111101
310011002202222201111
41020302100030331
510000102224432
6321101042021
742155313601
oct11062201475
93132688644
101221133117
11577330426
122a0b56311
13165cb3599
14b8271501
1572312347
hex48c9033d

1221133117 has 2 divisors, whose sum is σ = 1221133118. Its totient is φ = 1221133116.

The previous prime is 1221133093. The next prime is 1221133139. The reversal of 1221133117 is 7113311221.

It is an a-pointer prime, because the next prime (1221133139) can be obtained adding 1221133117 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 726248601 + 494884516 = 26949^2 + 22246^2 .

It is an emirp because it is prime and its reverse (7113311221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1221133117 - 223 = 1212744509 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1221133157) 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, 610566558 + 610566559.

It is an arithmetic number, because the mean of its divisors is an integer number (610566559).

Almost surely, 21221133117 is an apocalyptic number.

It is an amenable number.

1221133117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1221133117 is an equidigital number, since it uses as much as digits as its factorization.

1221133117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 252, while the sum is 22.

The square root of 1221133117 is about 34944.7151512214. The cubic root of 1221133117 is about 1068.8604390417.

Adding to 1221133117 its reverse (7113311221), we get a palindrome (8334444338).

The spelling of 1221133117 in words is "one billion, two hundred twenty-one million, one hundred thirty-three thousand, one hundred seventeen".