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2002221029 is a prime number
BaseRepresentation
bin111011101010111…
…0111011111100101
312011112112100220102
41313111313133211
513100032033104
6530402313445
7100421412044
oct16725673745
95145470812
102002221029
11938224326
1247a658885
1325ba74293
1414dcb655b
15baba0a1e
hex775777e5

2002221029 has 2 divisors, whose sum is σ = 2002221030. Its totient is φ = 2002221028.

The previous prime is 2002220999. The next prime is 2002221031. The reversal of 2002221029 is 9201222002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1892076004 + 110145025 = 43498^2 + 10495^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002221029 - 224 = 1985443813 is a prime.

Together with 2002221031, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2002221029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002221049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001110514 + 1001110515.

It is an arithmetic number, because the mean of its divisors is an integer number (1001110515).

Almost surely, 22002221029 is an apocalyptic number.

It is an amenable number.

2002221029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002221029 is an equidigital number, since it uses as much as digits as its factorization.

2002221029 is an evil number, because the sum of its binary digits is even.

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

The square root of 2002221029 is about 44746.1845189062. The cubic root of 2002221029 is about 1260.3872642231.

The spelling of 2002221029 in words is "two billion, two million, two hundred twenty-one thousand, twenty-nine".