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211023212011133 is a prime number
BaseRepresentation
bin101111111110110010101011…
…100101110101111001111101
31000200011121210110210002001212
4233332302223211311321331
5210124401014233324013
62024450420355014205
762306631625402034
oct5776625345657175
91020147713702055
10211023212011133
11612694948a8835
121b80186689a365
139099532673462
143a17813cb571b
15195e2e84866a8
hexbfecab975e7d

211023212011133 has 2 divisors, whose sum is σ = 211023212011134. Its totient is φ = 211023212011132.

The previous prime is 211023212011127. The next prime is 211023212011177. The reversal of 211023212011133 is 331110212320112.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 178658456877124 + 32364755134009 = 13366318^2 + 5689003^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211023212011133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211023212011099 and 211023212011108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211023212011103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105511606005566 + 105511606005567.

It is an arithmetic number, because the mean of its divisors is an integer number (105511606005567).

Almost surely, 2211023212011133 is an apocalyptic number.

It is an amenable number.

211023212011133 is a deficient number, since it is larger than the sum of its proper divisors (1).

211023212011133 is an equidigital number, since it uses as much as digits as its factorization.

211023212011133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 211023212011133 its reverse (331110212320112), we get a palindrome (542133424331245).

The spelling of 211023212011133 in words is "two hundred eleven trillion, twenty-three billion, two hundred twelve million, eleven thousand, one hundred thirty-three".