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211220331073 is a prime number
BaseRepresentation
bin1100010010110110110…
…1100111101001000001
3202012012022022120010221
43010231231213221001
511430034401043243
6241011104423041
721155144122333
oct3045555475101
9665168276127
10211220331073
118163a408a94
1234b29317a81
1316bc1a9bb2b
14a31a347453
155763536bed
hex312db67a41

211220331073 has 2 divisors, whose sum is σ = 211220331074. Its totient is φ = 211220331072.

The previous prime is 211220331061. The next prime is 211220331079. The reversal of 211220331073 is 370133022112.

It is a happy number.

211220331073 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 164647669824 + 46572661249 = 405768^2 + 215807^2 .

It is a cyclic number.

It is not a de Polignac number, because 211220331073 - 25 = 211220331041 is a prime.

It is a super-2 number, since 2×2112203310732 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211220331079) 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, 105610165536 + 105610165537.

It is an arithmetic number, because the mean of its divisors is an integer number (105610165537).

Almost surely, 2211220331073 is an apocalyptic number.

It is an amenable number.

211220331073 is a deficient number, since it is larger than the sum of its proper divisors (1).

211220331073 is an equidigital number, since it uses as much as digits as its factorization.

211220331073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 25.

Adding to 211220331073 its reverse (370133022112), we get a palindrome (581353353185).

The spelling of 211220331073 in words is "two hundred eleven billion, two hundred twenty million, three hundred thirty-one thousand, seventy-three".