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10032583933 is a prime number
BaseRepresentation
bin10010101011111110…
…10001010011111101
3221220012002001212201
421111333101103331
5131021320141213
64335305031501
7503421361561
oct112577212375
927805061781
1010032583933
11428914a889
121b3ba85591
13c3b6885c8
146b26056a1
153dab976dd
hex255fd14fd

10032583933 has 2 divisors, whose sum is σ = 10032583934. Its totient is φ = 10032583932.

The previous prime is 10032583871. The next prime is 10032584047. The reversal of 10032583933 is 33938523001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8356336569 + 1676247364 = 91413^2 + 40942^2 .

It is a cyclic number.

It is not a de Polignac number, because 10032583933 - 225 = 9999029501 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10032583892 and 10032583901.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10032583733) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5016291966 + 5016291967.

It is an arithmetic number, because the mean of its divisors is an integer number (5016291967).

Almost surely, 210032583933 is an apocalyptic number.

It is an amenable number.

10032583933 is a deficient number, since it is larger than the sum of its proper divisors (1).

10032583933 is an equidigital number, since it uses as much as digits as its factorization.

10032583933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58320, while the sum is 37.

The spelling of 10032583933 in words is "ten billion, thirty-two million, five hundred eighty-three thousand, nine hundred thirty-three".