Search a number
-
+
22133113001 is a prime number
BaseRepresentation
bin10100100111001111…
…001000000010101001
32010010111100122011222
4110213033020002221
5330312034104001
614100125231425
71412323233146
oct244717100251
963114318158
1022133113001
11942862442a
124358402575
1321195ba68c
1410dd7113cd
1589817461b
hex5273c80a9

22133113001 has 2 divisors, whose sum is σ = 22133113002. Its totient is φ = 22133113000.

The previous prime is 22133112971. The next prime is 22133113027. The reversal of 22133113001 is 10031133122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17464944025 + 4668168976 = 132155^2 + 68324^2 .

It is a cyclic number.

It is not a de Polignac number, because 22133113001 - 210 = 22133111977 is a prime.

It is a super-2 number, since 2×221331130012 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (22133113201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11066556500 + 11066556501.

It is an arithmetic number, because the mean of its divisors is an integer number (11066556501).

Almost surely, 222133113001 is an apocalyptic number.

It is an amenable number.

22133113001 is a deficient number, since it is larger than the sum of its proper divisors (1).

22133113001 is an equidigital number, since it uses as much as digits as its factorization.

22133113001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 22133113001 its reverse (10031133122), we get a palindrome (32164246123).

The spelling of 22133113001 in words is "twenty-two billion, one hundred thirty-three million, one hundred thirteen thousand, one".