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1000202993 is a prime number
BaseRepresentation
bin111011100111011…
…110001011110001
32120201001120120022
4323213132023301
54022022443433
6243125453225
733533404466
oct7347361361
92521046508
101000202993
11473652349
1223ab71215
1312c2ab6ba
1496ba166d
155cc21698
hex3b9de2f1

1000202993 has 2 divisors, whose sum is σ = 1000202994. Its totient is φ = 1000202992.

The previous prime is 1000202989. The next prime is 1000203049. The reversal of 1000202993 is 3992020001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 911617249 + 88585744 = 30193^2 + 9412^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000202993 - 22 = 1000202989 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000202933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500101496 + 500101497.

It is an arithmetic number, because the mean of its divisors is an integer number (500101497).

Almost surely, 21000202993 is an apocalyptic number.

It is an amenable number.

1000202993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000202993 is an equidigital number, since it uses as much as digits as its factorization.

1000202993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 1000202993 is about 31625.9860399640. The cubic root of 1000202993 is about 1000.0676597554.

Adding to 1000202993 its reverse (3992020001), we get a palindrome (4992222994).

The spelling of 1000202993 in words is "one billion, two hundred two thousand, nine hundred ninety-three".