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211002200009957 is a prime number
BaseRepresentation
bin101111111110011111000111…
…001011011010110011100101
31000200002121120002222211012002
4233332133013023122303211
5210124030001200304312
62024433023354535045
762305256134341266
oct5776370713326345
91020077502884162
10211002200009957
11612605920a9304
121b7b9781a37485
139097564418c75
143a167bd43a96d
15195d9b89684c2
hexbfe7c72dace5

211002200009957 has 2 divisors, whose sum is σ = 211002200009958. Its totient is φ = 211002200009956.

The previous prime is 211002200009921. The next prime is 211002200010071. The reversal of 211002200009957 is 759900002200112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 131692470838756 + 79309729171201 = 11475734^2 + 8905601^2 .

It is a cyclic number.

It is not a de Polignac number, because 211002200009957 - 228 = 211001931574501 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 211002200009957.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211002200003957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105501100004978 + 105501100004979.

It is an arithmetic number, because the mean of its divisors is an integer number (105501100004979).

Almost surely, 2211002200009957 is an apocalyptic number.

It is an amenable number.

211002200009957 is a deficient number, since it is larger than the sum of its proper divisors (1).

211002200009957 is an equidigital number, since it uses as much as digits as its factorization.

211002200009957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22680, while the sum is 38.

The spelling of 211002200009957 in words is "two hundred eleven trillion, two billion, two hundred million, nine thousand, nine hundred fifty-seven".