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211012133333 is a prime number
BaseRepresentation
bin1100010010000101001…
…1011010000111010101
3202011122210120000112112
43010201103122013111
511424123101231313
6240534310200405
721150035353001
oct3044123320725
9664583500475
10211012133333
1181542936a41
1234a8b653105
1316b8a9043c1
14a2da82d701
15575010d8a8
hex31214da1d5

211012133333 has 2 divisors, whose sum is σ = 211012133334. Its totient is φ = 211012133332.

The previous prime is 211012133309. The next prime is 211012133357. The reversal of 211012133333 is 333331210112.

It is a balanced prime because it is at equal distance from previous prime (211012133309) and next prime (211012133357).

It can be written as a sum of positive squares in only one way, i.e., 181375477924 + 29636655409 = 425882^2 + 172153^2 .

It is a cyclic number.

It is not a de Polignac number, because 211012133333 - 28 = 211012133077 is a prime.

It is a super-2 number, since 2×2110121333332 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211012133299 and 211012133308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211012133303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105506066666 + 105506066667.

It is an arithmetic number, because the mean of its divisors is an integer number (105506066667).

Almost surely, 2211012133333 is an apocalyptic number.

It is an amenable number.

211012133333 is a deficient number, since it is larger than the sum of its proper divisors (1).

211012133333 is an equidigital number, since it uses as much as digits as its factorization.

211012133333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 211012133333 its reverse (333331210112), we get a palindrome (544343343445).

The spelling of 211012133333 in words is "two hundred eleven billion, twelve million, one hundred thirty-three thousand, three hundred thirty-three".