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211211797033 is a prime number
BaseRepresentation
bin1100010010110100110…
…1000100001000101001
3202012011201020222122101
43010231031010020221
511430030210001113
6241010201453401
721155011436626
oct3045515041051
9665151228571
10211211797033
118163560a266
1234b264a1261
1316bc00a15c3
14a31916534d
1557628ed2dd
hex312d344229

211211797033 has 2 divisors, whose sum is σ = 211211797034. Its totient is φ = 211211797032.

The previous prime is 211211796959. The next prime is 211211797061. The reversal of 211211797033 is 330797112112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 185901532569 + 25310264464 = 431163^2 + 159092^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211211797033 is a prime.

It is a super-2 number, since 2×2112117970332 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211211796983 and 211211797001.

It is not a weakly prime, because it can be changed into another prime (211211797063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105605898516 + 105605898517.

It is an arithmetic number, because the mean of its divisors is an integer number (105605898517).

Almost surely, 2211211797033 is an apocalyptic number.

It is an amenable number.

211211797033 is a deficient number, since it is larger than the sum of its proper divisors (1).

211211797033 is an equidigital number, since it uses as much as digits as its factorization.

211211797033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15876, while the sum is 37.

The spelling of 211211797033 in words is "two hundred eleven billion, two hundred eleven million, seven hundred ninety-seven thousand, thirty-three".