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1022313137 is a prime number
BaseRepresentation
bin111100111011110…
…100001010110001
32122020122212222112
4330323310022301
54043203010022
6245235415105
734222342526
oct7473641261
92566585875
101022313137
11485083a9a
12246454495
13133a50421
1499ab914d
155eb3c8e2
hex3cef42b1

1022313137 has 2 divisors, whose sum is σ = 1022313138. Its totient is φ = 1022313136.

The previous prime is 1022313109. The next prime is 1022313143. The reversal of 1022313137 is 7313132201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 792760336 + 229552801 = 28156^2 + 15151^2 .

It is an emirp because it is prime and its reverse (7313132201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1022313137 - 26 = 1022313073 is a prime.

It is not a weakly prime, because it can be changed into another prime (1022313157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511156568 + 511156569.

It is an arithmetic number, because the mean of its divisors is an integer number (511156569).

Almost surely, 21022313137 is an apocalyptic number.

It is an amenable number.

1022313137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022313137 is an equidigital number, since it uses as much as digits as its factorization.

1022313137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 1022313137 is about 31973.6319019282. The cubic root of 1022313137 is about 1007.3830684835.

Adding to 1022313137 its reverse (7313132201), we get a palindrome (8335445338).

The spelling of 1022313137 in words is "one billion, twenty-two million, three hundred thirteen thousand, one hundred thirty-seven".