Search a number
-
+
211220002200997 is a prime number
BaseRepresentation
bin110000000001101001111101…
…001100110101110110100101
31000200212102202010020111211101
4300001221331030311312211
5210141112031030412442
62025121043543440101
762330066362410016
oct6001517514656645
91020772663214741
10211220002200997
1161334999826089
121b833a27456031
1390b1c6499a79a
143a2316197700d
1519644b4c20cb7
hexc01a7d335da5

211220002200997 has 2 divisors, whose sum is σ = 211220002200998. Its totient is φ = 211220002200996.

The previous prime is 211220002200983. The next prime is 211220002201099. The reversal of 211220002200997 is 799002200022112.

211220002200997 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., 205828346064961 + 5391656136036 = 14346719^2 + 2321994^2 .

It is a cyclic number.

It is not a de Polignac number, because 211220002200997 - 27 = 211220002200869 is a prime.

It is a super-2 number, since 2×2112200022009972 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211220002200497) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105610001100498 + 105610001100499.

It is an arithmetic number, because the mean of its divisors is an integer number (105610001100499).

Almost surely, 2211220002200997 is an apocalyptic number.

It is an amenable number.

211220002200997 is a deficient number, since it is larger than the sum of its proper divisors (1).

211220002200997 is an equidigital number, since it uses as much as digits as its factorization.

211220002200997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18144, while the sum is 37.

The spelling of 211220002200997 in words is "two hundred eleven trillion, two hundred twenty billion, two million, two hundred thousand, nine hundred ninety-seven".