Search a number
-
+
211220002001233 is a prime number
BaseRepresentation
bin110000000001101001111101…
…001100000101000101010001
31000200212102202002212100210201
4300001221331030011011101
5210141112031003014413
62025121043535255201
762330066360615431
oct6001517514050521
91020772662770721
10211220002001233
11613349996a9a95
121b833a2737a501
1390b1c6492a894
143a231619242c1
1519644b4bd19dd
hexc01a7d305151

211220002001233 has 2 divisors, whose sum is σ = 211220002001234. Its totient is φ = 211220002001232.

The previous prime is 211220002001209. The next prime is 211220002001251. The reversal of 211220002001233 is 332100200022112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 174955433693184 + 36264568308049 = 13227072^2 + 6022007^2 .

It is a cyclic number.

It is not a de Polignac number, because 211220002001233 - 229 = 211219465130321 is a prime.

It is a super-2 number, since 2×2112200020012332 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211220002001233.

It is not a weakly prime, because it can be changed into another prime (211220002001633) 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, 105610001000616 + 105610001000617.

It is an arithmetic number, because the mean of its divisors is an integer number (105610001000617).

Almost surely, 2211220002001233 is an apocalyptic number.

It is an amenable number.

211220002001233 is a deficient number, since it is larger than the sum of its proper divisors (1).

211220002001233 is an equidigital number, since it uses as much as digits as its factorization.

211220002001233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 211220002001233 its reverse (332100200022112), we get a palindrome (543320202023345).

The spelling of 211220002001233 in words is "two hundred eleven trillion, two hundred twenty billion, two million, one thousand, two hundred thirty-three".