Search a number
-
+
2232141313 is a prime number
BaseRepresentation
bin1000010100001011…
…1100011000000001
312202120011112020111
42011002330120001
514032412010223
61005254311321
7106212613423
oct20502743001
95676145214
102232141313
11a45a92896
12523658541
132975a619c
14172646813
15d0e6a30d
hex850bc601

2232141313 has 2 divisors, whose sum is σ = 2232141314. Its totient is φ = 2232141312.

The previous prime is 2232141251. The next prime is 2232141347. The reversal of 2232141313 is 3131412322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2228500849 + 3640464 = 47207^2 + 1908^2 .

It is a cyclic number.

It is not a de Polignac number, because 2232141313 - 213 = 2232133121 is a prime.

It is a super-3 number, since 3×22321413133 (a number of 29 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2232141013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1116070656 + 1116070657.

It is an arithmetic number, because the mean of its divisors is an integer number (1116070657).

Almost surely, 22232141313 is an apocalyptic number.

It is an amenable number.

2232141313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2232141313 is an equidigital number, since it uses as much as digits as its factorization.

2232141313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 864, while the sum is 22.

The square root of 2232141313 is about 47245.5427844786. The cubic root of 2232141313 is about 1306.8945950772.

Adding to 2232141313 its reverse (3131412322), we get a palindrome (5363553635).

The spelling of 2232141313 in words is "two billion, two hundred thirty-two million, one hundred forty-one thousand, three hundred thirteen".