Search a number
-
+
20222122212102 = 2323292479363761
BaseRepresentation
bin1001001100100010101000…
…11010010011101100000110
32122121012211110121000010010
410212101110122103230012
510122304401241241402
6111001525324011050
74155000016461036
oct446212432235406
978535743530103
1020222122212102
116497176887658
122327223990a86
13b38c26874935
144dca824138c6
15251055529a6c
hex126454693b06

20222122212102 has 96 divisors (see below), whose sum is σ = 43799505684480. Its totient is φ = 6212287459840.

The previous prime is 20222122212059. The next prime is 20222122212209. The reversal of 20222122212102 is 20121222122202.

It is a super-2 number, since 2×202221222121022 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 55409902 + ... + 55773662.

It is an arithmetic number, because the mean of its divisors is an integer number (456244850880).

Almost surely, 220222122212102 is an apocalyptic number.

20222122212102 is an abundant number, since it is smaller than the sum of its proper divisors (23577383472378).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20222122212102 is a wasteful number, since it uses less digits than its factorization.

20222122212102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364326 (or 364297 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 20222122212102 its reverse (20121222122202), we get a palindrome (40343344334304).

The spelling of 20222122212102 in words is "twenty trillion, two hundred twenty-two billion, one hundred twenty-two million, two hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 23 29 46 58 69 87 138 174 479 667 841 958 1334 1437 1682 2001 2523 2874 4002 5046 11017 13891 19343 22034 27782 33051 38686 41673 58029 66102 83346 116058 319493 363761 402839 638986 727522 805678 958479 1091283 1208517 1916958 2182566 2417034 8366503 9265297 10549069 16733006 18530594 21098138 25099509 27795891 31647207 50199018 55591782 63294414 174241519 242628587 305923001 348483038 485257174 522724557 611846002 727885761 917769003 1045449114 1455771522 1835538006 4007554937 5053004051 7036229023 8015109874 10106008102 12022664811 14072458046 15159012153 21108687069 24045329622 30318024306 42217374138 116219093173 146537117479 232438186346 293074234958 348657279519 439611352437 697314559038 879222704874 3370353702017 6740707404034 10111061106051 20222122212102