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212040440131311 = 3311713940875863
BaseRepresentation
bin110000001101100110000011…
…000111001010111011101111
31000210202212102211221200112000
4300031212003013022323233
5210243032310133200221
62030550011115543343
762443262526635511
oct6015460307127357
91023685384850460
10212040440131311
1161620933631380
121b946a3645ab53
139141434c83b3c
143a50b5241dbb1
15197a9d2435e26
hexc0d9831caeef

212040440131311 has 16 divisors (see below), whose sum is σ = 342691620414720. Its totient is φ = 128509357655160.

The previous prime is 212040440131297. The next prime is 212040440131327. The reversal of 212040440131311 is 113131044040212.

It is a happy number.

212040440131311 is a `hidden beast` number, since 2 + 1 + 20 + 40 + 440 + 131 + 31 + 1 = 666.

It is not a de Polignac number, because 212040440131311 - 226 = 212040373022447 is a prime.

It is a super-2 number, since 2×2120404401313112 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212040440131811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356970437635 + ... + 356970438228.

It is an arithmetic number, because the mean of its divisors is an integer number (21418226275920).

Almost surely, 2212040440131311 is an apocalyptic number.

212040440131311 is a deficient number, since it is larger than the sum of its proper divisors (130651180283409).

212040440131311 is a wasteful number, since it uses less digits than its factorization.

212040440131311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713940875883 (or 713940875877 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 212040440131311 its reverse (113131044040212), we get a palindrome (325171484171523).

The spelling of 212040440131311 in words is "two hundred twelve trillion, forty billion, four hundred forty million, one hundred thirty-one thousand, three hundred eleven".

Divisors: 1 3 9 11 27 33 99 297 713940875863 2141822627589 6425467882767 7853349634493 19276403648301 23560048903479 70680146710437 212040440131311