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1012364993 is a prime number
BaseRepresentation
bin111100010101110…
…111011011000001
32121112221110200202
4330111313123001
54033131134433
6244242254545
734041650303
oct7425673301
92545843622
101012364993
1147a4a9892
12243057455
13131979353
1498649973
155dd24ee8
hex3c5776c1

1012364993 has 2 divisors, whose sum is σ = 1012364994. Its totient is φ = 1012364992.

The previous prime is 1012364959. The next prime is 1012365017. The reversal of 1012364993 is 3994632101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 901020289 + 111344704 = 30017^2 + 10552^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012364993 - 26 = 1012364929 is a prime.

It is not a weakly prime, because it can be changed into another prime (1012364693) 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, 506182496 + 506182497.

It is an arithmetic number, because the mean of its divisors is an integer number (506182497).

Almost surely, 21012364993 is an apocalyptic number.

It is an amenable number.

1012364993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012364993 is an equidigital number, since it uses as much as digits as its factorization.

1012364993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 38.

The square root of 1012364993 is about 31817.6836523340. The cubic root of 1012364993 is about 1004.1047919620.

The spelling of 1012364993 in words is "one billion, twelve million, three hundred sixty-four thousand, nine hundred ninety-three".