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210332133029 is a prime number
BaseRepresentation
bin1100001111100011000…
…1011010011010100101
3202002220102000102111002
43003320301122122211
511421230011224104
6240343015323045
721124140426554
oct3037061323245
9662812012432
10210332133029
1181224007717
123491b980485
1316aaca78265
14a2743bdd9b
15571058c01e
hex30f8c5a6a5

210332133029 has 2 divisors, whose sum is σ = 210332133030. Its totient is φ = 210332133028.

The previous prime is 210332133001. The next prime is 210332133031. The reversal of 210332133029 is 920331233012.

210332133029 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., 124875304129 + 85456828900 = 353377^2 + 292330^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-210332133029 is a prime.

Together with 210332133031, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 210332132992 and 210332133010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210332133629) 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, 105166066514 + 105166066515.

It is an arithmetic number, because the mean of its divisors is an integer number (105166066515).

Almost surely, 2210332133029 is an apocalyptic number.

It is an amenable number.

210332133029 is a deficient number, since it is larger than the sum of its proper divisors (1).

210332133029 is an equidigital number, since it uses as much as digits as its factorization.

210332133029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 29.

The spelling of 210332133029 in words is "two hundred ten billion, three hundred thirty-two million, one hundred thirty-three thousand, twenty-nine".