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210022233313 is a prime number
BaseRepresentation
bin1100001110011001001…
…1001111010011100001
3202002002210212212222211
43003212103033103201
511420111142431223
6240252145202121
721113355346054
oct3034623172341
9662083785884
10210022233313
1181085091452
1234854030341
1316a607c2449
14a245190a9b
1556e3274d0d
hex30e64cf4e1

210022233313 has 2 divisors, whose sum is σ = 210022233314. Its totient is φ = 210022233312.

The previous prime is 210022233259. The next prime is 210022233319. The reversal of 210022233313 is 313332220012.

210022233313 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., 162173733264 + 47848500049 = 402708^2 + 218743^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-210022233313 is a prime.

It is not a weakly prime, because it can be changed into another prime (210022233319) 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, 105011116656 + 105011116657.

It is an arithmetic number, because the mean of its divisors is an integer number (105011116657).

Almost surely, 2210022233313 is an apocalyptic number.

It is an amenable number.

210022233313 is a deficient number, since it is larger than the sum of its proper divisors (1).

210022233313 is an equidigital number, since it uses as much as digits as its factorization.

210022233313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 210022233313 its reverse (313332220012), we get a palindrome (523354453325).

The spelling of 210022233313 in words is "two hundred ten billion, twenty-two million, two hundred thirty-three thousand, three hundred thirteen".