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20222122122202 = 271113192918332051
BaseRepresentation
bin1001001100100010101000…
…11001111101101111011010
32122121012211110102102210111
410212101110121331233122
510122304401230402302
6111001525322034534
74155000015634660
oct446212431755732
978535743372714
1020222122122202
116497176826060
122327223948a4a
13b38c26842a40
144dca823ccc30
1525105550d0d7
hex12645467dbda

20222122122202 has 128 divisors (see below), whose sum is σ = 44348900198400. Its totient is φ = 6652334304000.

The previous prime is 20222122122109. The next prime is 20222122122229.

20222122122202 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8062924 + ... + 10269127.

It is an arithmetic number, because the mean of its divisors is an integer number (346475782800).

Almost surely, 220222122122202 is an apocalyptic number.

20222122122202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20222122122202 is an abundant number, since it is smaller than the sum of its proper divisors (24126778076198).

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

20222122122202 is a wasteful number, since it uses less digits than its factorization.

20222122122202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18332132.

The product of its (nonzero) digits is 1024, while the sum is 22.

Multiplying 20222122122202 by its sum of digits (22), we get a palindrome (444886686688444).

It can be divided in two parts, 2022212 and 2122202, that added together give a palindrome (4144414).

The spelling of 20222122122202 in words is "twenty trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred two".

Divisors: 1 2 7 11 13 14 19 22 26 29 38 58 77 91 133 143 154 182 203 209 247 266 286 319 377 406 418 494 551 638 754 1001 1102 1463 1729 2002 2233 2639 2717 2926 3458 3857 4147 4466 5278 5434 6061 7163 7714 8294 12122 14326 19019 29029 38038 42427 50141 58058 78793 84854 100282 157586 551551 1103102 18332051 36664102 128324357 201652561 238316663 256648714 348308969 403305122 476633326 531629479 696617938 1063258958 1411567927 1668216641 2438162783 2621483293 2823135854 3336433282 3721406353 3831398659 4528016597 4876325566 5242966586 5847924269 6911183227 7442812706 7662797318 9056033194 10100960101 11695848538 13822366454 18350383051 20201920202 26819790613 31696116179 36700766102 40935469883 48378282589 49808182567 53639581226 63392232358 70706720707 76023015497 81870939766 96756565178 99616365134 111110561111 131312481313 141413441414 152046030994 222221122222 262624962626 348657277969 532161108479 697314555938 777773927777 919187369191 1064322216958 1444437294443 1555547855554 1838374738382 2888874588886 10111061061101 20222122122202