Search a number
-
+
20222001220131 = 35791839757259
BaseRepresentation
bin1001001100100010011010…
…01100110000101000100011
32122121012112000220222100000
410212101031030300220203
510122304124303021011
6111001505322431043
74154664020165544
oct446211514605043
978535460828300
1020222001220131
116497114558597
1223271ab362483
13b38c07791359
144dca7031a4cb
15251049aca356
hex12644d330a23

20222001220131 has 48 divisors (see below), whose sum is σ = 30677031257600. Its totient is φ = 13309728370848.

The previous prime is 20222001220121. The next prime is 20222001220171. The reversal of 20222001220131 is 13102210022202.

20222001220131 is a `hidden beast` number, since 202 + 220 + 0 + 12 + 201 + 31 = 666.

It is not a de Polignac number, because 20222001220131 - 26 = 20222001220067 is a prime.

It is a super-2 number, since 2×202220012201312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20222001220121) 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, 353138580 + ... + 353195838.

Almost surely, 220222001220131 is an apocalyptic number.

20222001220131 is a deficient number, since it is larger than the sum of its proper divisors (10455030037469).

20222001220131 is an equidigital number, since it uses as much as digits as its factorization.

20222001220131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75750 (or 75738 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20222001220131 its reverse (13102210022202), we get a palindrome (33324211242333).

It can be divided in two parts, 2022200 and 1220131, that added together give a triangular number (3242331 = T2546).

The spelling of 20222001220131 in words is "twenty trillion, two hundred twenty-two billion, one million, two hundred twenty thousand, one hundred thirty-one".

Divisors: 1 3 9 27 79 81 237 243 711 2133 6399 18397 19197 55191 57259 165573 171777 496719 515331 1453363 1490157 1545993 4360089 4470471 4523461 4637979 13080267 13570383 13913937 39240801 40711149 117722403 122133447 353167209 366400341 1053393823 1099201023 3160181469 9480544407 28441633221 83218112017 85324899663 249654336051 255974698989 748963008153 2246889024459 6740667073377 20222001220131