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211311012133 = 1361266470381
BaseRepresentation
bin1100010011001100011…
…1100010100100100101
3202012102121221122011201
43010303013202210211
511430231104342013
6241024104202501
721160324652524
oct3046307424445
9665377848151
10211311012133
1181686615011
1234b53769431
1316c077cba70
14a3283d04bb
15576b49a3dd
hex31331e2925

211311012133 has 8 divisors (see below), whose sum is σ = 231296291576. Its totient is φ = 191858673600.

The previous prime is 211311012113. The next prime is 211311012149. The reversal of 211311012133 is 331210113112.

It can be written as a sum of positive squares in 4 ways, for example, as 1809821764 + 209501190369 = 42542^2 + 457713^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 211311012133 - 213 = 211311003941 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 211311012133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211311012113) 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 in 7 ways as a sum of consecutive naturals, for example, 133234398 + ... + 133235983.

It is an arithmetic number, because the mean of its divisors is an integer number (28912036447).

Almost surely, 2211311012133 is an apocalyptic number.

It is an amenable number.

211311012133 is a deficient number, since it is larger than the sum of its proper divisors (19985279443).

211311012133 is a wasteful number, since it uses less digits than its factorization.

211311012133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266470455.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 211311012133 its reverse (331210113112), we get a palindrome (542521125245).

The spelling of 211311012133 in words is "two hundred eleven billion, three hundred eleven million, twelve thousand, one hundred thirty-three".

Divisors: 1 13 61 793 266470381 3464114953 16254693241 211311012133