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10213102033 is a prime number
BaseRepresentation
bin10011000001011111…
…11001000111010001
3222100202202100011021
421200233321013101
5131404023231113
64405234115441
7511042635451
oct114057710721
928322670137
1010213102033
1143710367a2
121b9041bb81
13c69bb1254
146cc595d61
153eb95448d
hex260bf91d1

10213102033 has 2 divisors, whose sum is σ = 10213102034. Its totient is φ = 10213102032.

The previous prime is 10213101979. The next prime is 10213102037. The reversal of 10213102033 is 33020131201.

10213102033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9415209024 + 797893009 = 97032^2 + 28247^2 .

It is a cyclic number.

It is not a de Polignac number, because 10213102033 - 217 = 10212970961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10213101998 and 10213102016.

It is not a weakly prime, because it can be changed into another prime (10213102037) 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, 5106551016 + 5106551017.

It is an arithmetic number, because the mean of its divisors is an integer number (5106551017).

Almost surely, 210213102033 is an apocalyptic number.

It is an amenable number.

10213102033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10213102033 is an equidigital number, since it uses as much as digits as its factorization.

10213102033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10213102033 its reverse (33020131201), we get a palindrome (43233233234).

The spelling of 10213102033 in words is "ten billion, two hundred thirteen million, one hundred two thousand, thirty-three".