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211330121309 is a prime number
BaseRepresentation
bin1100010011010001000…
…0011011111001011101
3202012110221220111000222
43010310100123321131
511430301002340214
6241030025531125
721160646251436
oct3046420337135
9665427814028
10211330121309
118169638701a
1234b5a043aa5
1316c0b75c878
14a32ab6648d
15576cec238e
hex313441be5d

211330121309 has 2 divisors, whose sum is σ = 211330121310. Its totient is φ = 211330121308.

The previous prime is 211330121279. The next prime is 211330121369. The reversal of 211330121309 is 903121033112.

211330121309 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 208807872025 + 2522249284 = 456955^2 + 50222^2 .

It is a cyclic number.

It is not a de Polignac number, because 211330121309 - 212 = 211330117213 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211330121369) 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, 105665060654 + 105665060655.

It is an arithmetic number, because the mean of its divisors is an integer number (105665060655).

Almost surely, 2211330121309 is an apocalyptic number.

It is an amenable number.

211330121309 is a deficient number, since it is larger than the sum of its proper divisors (1).

211330121309 is an equidigital number, since it uses as much as digits as its factorization.

211330121309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 26.

The spelling of 211330121309 in words is "two hundred eleven billion, three hundred thirty million, one hundred twenty-one thousand, three hundred nine".