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2111729841 = 321318048973
BaseRepresentation
bin111110111011110…
…0111000010110001
312110011120222202100
41331313213002301
513311100323331
6545313411013
7103221256524
oct17567470261
95404528670
102111729841
1199401a981
124ab269a69
13278666bb0
14160660bbb
15c55d2ae6
hex7dde70b1

2111729841 has 12 divisors (see below), whose sum is σ = 3284913268. Its totient is φ = 1299525984.

The previous prime is 2111729819. The next prime is 2111729857. The reversal of 2111729841 is 1489271112.

It can be written as a sum of positive squares in 2 ways, for example, as 748569600 + 1363160241 = 27360^2 + 36921^2 .

It is not a de Polignac number, because 2111729841 - 219 = 2111205553 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2111729796 and 2111729805.

It is not an unprimeable number, because it can be changed into a prime (2111729891) 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 in 11 ways as a sum of consecutive naturals, for example, 9024370 + ... + 9024603.

Almost surely, 22111729841 is an apocalyptic number.

It is an amenable number.

2111729841 is a deficient number, since it is larger than the sum of its proper divisors (1173183427).

2111729841 is a wasteful number, since it uses less digits than its factorization.

2111729841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18048992 (or 18048989 counting only the distinct ones).

The product of its digits is 8064, while the sum is 36.

The square root of 2111729841 is about 45953.5617879616. The cubic root of 2111729841 is about 1282.9590235881.

The spelling of 2111729841 in words is "two billion, one hundred eleven million, seven hundred twenty-nine thousand, eight hundred forty-one".

Divisors: 1 3 9 13 39 117 18048973 54146919 162440757 234636649 703909947 2111729841