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211321902131 is a prime number
BaseRepresentation
bin1100010011001111000…
…1000101010000110011
3202012110101102220102222
43010303301011100303
511430241401332011
6241025133431255
721160516350014
oct3046361052063
9665411386388
10211321902131
118169178290a
1234b5733b52b
1316c09b42752
14a329a2700b
15576c3ebddb
hex3133c45433

211321902131 has 2 divisors, whose sum is σ = 211321902132. Its totient is φ = 211321902130.

The previous prime is 211321902061. The next prime is 211321902133. The reversal of 211321902131 is 131209123112.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211321902131 is a prime.

It is a super-2 number, since 2×2113219021312 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 211321902133, 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 211321902131.

It is not a weakly prime, because it can be changed into another prime (211321902133) 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, 105660951065 + 105660951066.

It is an arithmetic number, because the mean of its divisors is an integer number (105660951066).

Almost surely, 2211321902131 is an apocalyptic number.

211321902131 is a deficient number, since it is larger than the sum of its proper divisors (1).

211321902131 is an equidigital number, since it uses as much as digits as its factorization.

211321902131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 26.

The spelling of 211321902131 in words is "two hundred eleven billion, three hundred twenty-one million, nine hundred two thousand, one hundred thirty-one".