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20113302011331 = 3233731147595323
BaseRepresentation
bin1001001001010111111100…
…01110001011110111000011
32122012210221121012001000210
410210223332032023313003
510114014020303330311
6110435531241245203
74144065242152344
oct444537616136703
978183847161023
1020113302011331
1164550046a6131
12230a114193803
13b2b8a39185a9
144d76bbbc20cb
1524d2d6ccc3a6
hex124afe38bdc3

20113302011331 has 64 divisors (see below), whose sum is σ = 28843929354240. Its totient is φ = 12434152199040.

The previous prime is 20113302011267. The next prime is 20113302011401. The reversal of 20113302011331 is 13311020331102.

It is a happy number.

It is not a de Polignac number, because 20113302011331 - 26 = 20113302011267 is a prime.

It is a super-3 number, since 3×201133020113313 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 20113302011298 and 20113302011307.

It is not an unprimeable number, because it can be changed into a prime (20113302013331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3778562436 + ... + 3778567758.

It is an arithmetic number, because the mean of its divisors is an integer number (450686396160).

Almost surely, 220113302011331 is an apocalyptic number.

20113302011331 is a deficient number, since it is larger than the sum of its proper divisors (8730627342909).

20113302011331 is a wasteful number, since it uses less digits than its factorization.

20113302011331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10456.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 20113302011331 its reverse (13311020331102), we get a palindrome (33424322342433).

The spelling of 20113302011331 in words is "twenty trillion, one hundred thirteen billion, three hundred two million, eleven thousand, three hundred thirty-one".

Divisors: 1 3 23 37 69 111 311 851 933 2553 4759 5323 7153 11507 14277 15969 21459 34521 109457 122429 176083 196951 264661 328371 367287 528249 590853 793983 1480049 1655453 4049909 4440147 4529873 4966359 12149727 13589619 25332157 34041127 38075419 54761813 61251761 75996471 102123381 114226257 164285439 183755283 582639611 937289809 1259521699 1408790503 1747918833 2811869427 3778565097 4226371509 7878300827 21557665607 23634902481 64672996821 181200919021 291497130599 543602757063 874491391797 6704434003777 20113302011331