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2040812106111 = 3297151121712721
BaseRepresentation
bin11101101100101001111…
…000010111000101111111
321020002200201000122121200
4131230221320113011333
5231414040344343421
64201311450030543
7300305140453122
oct35545170270577
97202621018550
102040812106111
1171755a2591a9
1228b633a18453
1311a5a8947b9c
1470ac0c583b9
1538145e2d726
hex1db29e1717f

2040812106111 has 48 divisors (see below), whose sum is σ = 3000652444608. Its totient is φ = 1336393728000.

The previous prime is 2040812106097. The next prime is 2040812106121. The reversal of 2040812106111 is 1116012180402.

It is a happy number.

2040812106111 is a `hidden beast` number, since 2 + 0 + 40 + 8 + 1 + 2 + 1 + 0 + 611 + 1 = 666.

It is not a de Polignac number, because 2040812106111 - 229 = 2040275235199 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040812106121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160422231 + ... + 160434951.

It is an arithmetic number, because the mean of its divisors is an integer number (62513592596).

Almost surely, 22040812106111 is an apocalyptic number.

2040812106111 is a deficient number, since it is larger than the sum of its proper divisors (959840338497).

2040812106111 is a wasteful number, since it uses less digits than its factorization.

2040812106111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14192 (or 14189 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

Adding to 2040812106111 its reverse (1116012180402), we get a palindrome (3156824286513).

The spelling of 2040812106111 in words is "two trillion, forty billion, eight hundred twelve million, one hundred six thousand, one hundred eleven".

Divisors: 1 3 9 97 151 291 453 873 1217 1359 3651 10953 12721 14647 38163 43941 114489 118049 131823 183767 354147 551301 1062441 1233937 1653903 1920871 3701811 5762613 11105433 15481457 17287839 17825399 46444371 53476197 139333113 160428591 186324487 558973461 1501701329 1676920383 2337700007 4505103987 7013100021 13515311961 21039300063 226756900679 680270702037 2040812106111