Search a number
-
+
31322320217 is a prime number
BaseRepresentation
bin11101001010111101…
…001010110101011001
32222211220110201200222
4131022331022311121
51003122003221332
622220030005425
72156124220556
oct351275126531
988756421628
1031322320217
11123136a6861
1260a1946875
132c523165b6
141731cd9a2d
15c34c77712
hex74af4ad59

31322320217 has 2 divisors, whose sum is σ = 31322320218. Its totient is φ = 31322320216.

The previous prime is 31322320201. The next prime is 31322320219. The reversal of 31322320217 is 71202322313.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16482451456 + 14839868761 = 128384^2 + 121819^2 .

It is an emirp because it is prime and its reverse (71202322313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31322320217 - 24 = 31322320201 is a prime.

Together with 31322320219, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (31322320219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15661160108 + 15661160109.

It is an arithmetic number, because the mean of its divisors is an integer number (15661160109).

Almost surely, 231322320217 is an apocalyptic number.

It is an amenable number.

31322320217 is a deficient number, since it is larger than the sum of its proper divisors (1).

31322320217 is an equidigital number, since it uses as much as digits as its factorization.

31322320217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3024, while the sum is 26.

The spelling of 31322320217 in words is "thirty-one billion, three hundred twenty-two million, three hundred twenty thousand, two hundred seventeen".