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10003021033 is a prime number
BaseRepresentation
bin10010101000011100…
…11111110011101001
3221211010110010012111
421110032133303221
5130441233133113
64332331242321
7502612163425
oct112416376351
927733403174
1010003021033
114273498835
121b31ba93a1
13c35507575
146ac70bb85
153d82a813d
hex25439fce9

10003021033 has 2 divisors, whose sum is σ = 10003021034. Its totient is φ = 10003021032.

The previous prime is 10003021031. The next prime is 10003021073. The reversal of 10003021033 is 33012030001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8717583424 + 1285437609 = 93368^2 + 35853^2 .

It is an emirp because it is prime and its reverse (33012030001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10003021033 - 21 = 10003021031 is a prime.

Together with 10003021031, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10003021031) 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, 5001510516 + 5001510517.

It is an arithmetic number, because the mean of its divisors is an integer number (5001510517).

Almost surely, 210003021033 is an apocalyptic number.

It is an amenable number.

10003021033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10003021033 is an equidigital number, since it uses as much as digits as its factorization.

10003021033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 10003021033 its reverse (33012030001), we get a palindrome (43015051034).

The spelling of 10003021033 in words is "ten billion, three million, twenty-one thousand, thirty-three".