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211220314309 is a prime number
BaseRepresentation
bin1100010010110110110…
…1100011100011000101
3202012012022021201011001
43010231231203203011
511430034400024214
6241011104213301
721155144022424
oct3045555434305
9665168251131
10211220314309
118163a3a7434
1234b2930a231
1316bc1a94304
14a31a3412bb
155763531c74
hex312db638c5

211220314309 has 2 divisors, whose sum is σ = 211220314310. Its totient is φ = 211220314308.

The previous prime is 211220314259. The next prime is 211220314387. The reversal of 211220314309 is 903413022112.

It is a happy number.

211220314309 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., 210323132100 + 897182209 = 458610^2 + 29953^2 .

It is a cyclic number.

It is not a de Polignac number, because 211220314309 - 27 = 211220314181 is a prime.

It is a super-2 number, since 2×2112203143092 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211220314909) 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, 105610157154 + 105610157155.

It is an arithmetic number, because the mean of its divisors is an integer number (105610157155).

Almost surely, 2211220314309 is an apocalyptic number.

It is an amenable number.

211220314309 is a deficient number, since it is larger than the sum of its proper divisors (1).

211220314309 is an equidigital number, since it uses as much as digits as its factorization.

211220314309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 211220314309 in words is "two hundred eleven billion, two hundred twenty million, three hundred fourteen thousand, three hundred nine".