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211021112033 is a prime number
BaseRepresentation
bin1100010010000111010…
…1101010001011100001
3202011200102110011222222
43010201311222023201
511424132401041113
6240535230440425
721150204566654
oct3044165521341
9664612404888
10211021112033
1181547a09856
1234a92663115
1316b8c729144
14a2dbac989b
155750cd3e08
hex3121d6a2e1

211021112033 has 2 divisors, whose sum is σ = 211021112034. Its totient is φ = 211021112032.

The previous prime is 211021111999. The next prime is 211021112077. The reversal of 211021112033 is 330211120112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 198730507264 + 12290604769 = 445792^2 + 110863^2 .

It is a cyclic number.

It is not a de Polignac number, because 211021112033 - 26 = 211021111969 is a prime.

It is not a weakly prime, because it can be changed into another prime (211021112633) 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, 105510556016 + 105510556017.

It is an arithmetic number, because the mean of its divisors is an integer number (105510556017).

Almost surely, 2211021112033 is an apocalyptic number.

It is an amenable number.

211021112033 is a deficient number, since it is larger than the sum of its proper divisors (1).

211021112033 is an equidigital number, since it uses as much as digits as its factorization.

211021112033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 211021112033 its reverse (330211120112), we get a palindrome (541232232145).

The spelling of 211021112033 in words is "two hundred eleven billion, twenty-one million, one hundred twelve thousand, thirty-three".