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211333230029 is a prime number
BaseRepresentation
bin1100010011010001110…
…0010010110111001101
3202012111011202102101202
43010310130102313031
511430302301330104
6241030220315245
721161014546655
oct3046434226715
9665434672352
10211333230029
118169810a709
1234b5b0a2b25
1316c0c2aa84c
14a32b335365
15576d3d851e
hex3134712dcd

211333230029 has 2 divisors, whose sum is σ = 211333230030. Its totient is φ = 211333230028.

The previous prime is 211333229999. The next prime is 211333230047. The reversal of 211333230029 is 920032333112.

211333230029 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., 177514755625 + 33818474404 = 421325^2 + 183898^2 .

It is a cyclic number.

It is not a de Polignac number, because 211333230029 - 228 = 211064794573 is a prime.

It is a super-2 number, since 2×2113332300292 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211333229983 and 211333230010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211333230079) 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, 105666615014 + 105666615015.

It is an arithmetic number, because the mean of its divisors is an integer number (105666615015).

Almost surely, 2211333230029 is an apocalyptic number.

It is an amenable number.

211333230029 is a deficient number, since it is larger than the sum of its proper divisors (1).

211333230029 is an equidigital number, since it uses as much as digits as its factorization.

211333230029 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 211333230029 in words is "two hundred eleven billion, three hundred thirty-three million, two hundred thirty thousand, twenty-nine".