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10202202029 is a prime number
BaseRepresentation
bin10011000000001100…
…10011111110101101
3222100000020120011102
421200012103332231
5131343230431104
64404204332445
7510551200145
oct114006237655
928300216142
1010202202029
114365971428
121b88844125
13c67865b46
146cad59925
153ea9eea1e
hex260193fad

10202202029 has 2 divisors, whose sum is σ = 10202202030. Its totient is φ = 10202202028.

The previous prime is 10202202013. The next prime is 10202202041. The reversal of 10202202029 is 92020220201.

10202202029 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., 9039255625 + 1162946404 = 95075^2 + 34102^2 .

It is a cyclic number.

It is not a de Polignac number, because 10202202029 - 24 = 10202202013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10202202029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10202202079) 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, 5101101014 + 5101101015.

It is an arithmetic number, because the mean of its divisors is an integer number (5101101015).

Almost surely, 210202202029 is an apocalyptic number.

It is an amenable number.

10202202029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202202029 is an equidigital number, since it uses as much as digits as its factorization.

10202202029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

The spelling of 10202202029 in words is "ten billion, two hundred two million, two hundred two thousand, twenty-nine".