Search a number
-
+
1022313199 is a prime number
BaseRepresentation
bin111100111011110…
…100001011101111
32122020122220001211
4330323310023233
54043203010244
6245235415251
734222342645
oct7473641357
92566586054
101022313199
11485084046
12246454527
13133a5046b
1499ab9195
155eb3c934
hex3cef42ef

1022313199 has 2 divisors, whose sum is σ = 1022313200. Its totient is φ = 1022313198.

The previous prime is 1022313197. The next prime is 1022313209. The reversal of 1022313199 is 9913132201.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1022313199 - 21 = 1022313197 is a prime.

It is a super-3 number, since 3×10223131993 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 1022313197, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 1022313199.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1022313197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511156599 + 511156600.

It is an arithmetic number, because the mean of its divisors is an integer number (511156600).

Almost surely, 21022313199 is an apocalyptic number.

1022313199 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022313199 is an equidigital number, since it uses as much as digits as its factorization.

1022313199 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 31.

The square root of 1022313199 is about 31973.6328714771. The cubic root of 1022313199 is about 1007.3830888483.

The spelling of 1022313199 in words is "one billion, twenty-two million, three hundred thirteen thousand, one hundred ninety-nine".