Search a number
-
+
2151337217 is a prime number
BaseRepresentation
bin1000000000111010…
…1100110100000001
312112221010020212012
42000032230310001
513401220242332
6553250342305
7104212031111
oct20016546401
95487106765
102151337217
11a04412547
1250058a995
13283923b03
14165a11041
15c8d083b2
hex803acd01

2151337217 has 2 divisors, whose sum is σ = 2151337218. Its totient is φ = 2151337216.

The previous prime is 2151337159. The next prime is 2151337241. The reversal of 2151337217 is 7127331512.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2145912976 + 5424241 = 46324^2 + 2329^2 .

It is a cyclic number.

It is not a de Polignac number, because 2151337217 - 210 = 2151336193 is a prime.

It is not a weakly prime, because it can be changed into another prime (2151339217) 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, 1075668608 + 1075668609.

It is an arithmetic number, because the mean of its divisors is an integer number (1075668609).

Almost surely, 22151337217 is an apocalyptic number.

It is an amenable number.

2151337217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2151337217 is an equidigital number, since it uses as much as digits as its factorization.

2151337217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8820, while the sum is 32.

The square root of 2151337217 is about 46382.5098178182. The cubic root of 2151337217 is about 1290.9304060469.

Adding to 2151337217 its reverse (7127331512), we get a palindrome (9278668729).

The spelling of 2151337217 in words is "two billion, one hundred fifty-one million, three hundred thirty-seven thousand, two hundred seventeen".