Search a number
-
+
20222122110100 = 22526311032131051
BaseRepresentation
bin1001001100100010101000…
…11001111010110010010100
32122121012211110101211012021
410212101110121322302110
510122304401230010400
6111001525321502524
74155000015554461
oct446212431726224
978535743354167
1020222122110100
116497176817a59
122327223941a44
13b38c2683a391
144dca823c8668
1525105550971a
hex12645467ac94

20222122110100 has 72 divisors (see below), whose sum is σ = 43957222627136. Its totient is φ = 8074987200000.

The previous prime is 20222122110067. The next prime is 20222122110163. The reversal of 20222122110100 is 101122122202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 651239575 + ... + 651270625.

Almost surely, 220222122110100 is an apocalyptic number.

20222122110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20222122110100 is an abundant number, since it is smaller than the sum of its proper divisors (23735100517036).

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

20222122110100 is a wasteful number, since it uses less digits than its factorization.

20222122110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42017 (or 42010 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20222122110100 its reverse (101122122202), we get a palindrome (20323244232302).

The spelling of 20222122110100 in words is "twenty trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 631 1262 2524 3155 6310 10321 12620 15775 20642 31051 31550 41284 51605 62102 63100 103210 124204 155255 206420 258025 310510 516050 621020 776275 1032100 1552550 3105100 6512551 13025102 19593181 26050204 32562755 39186362 65125510 78372724 97965905 130251020 162813775 195931810 320477371 325627550 391863620 489829525 640954742 651255100 979659050 1281909484 1602386855 1959318100 3204773710 6409547420 8011934275 16023868550 32047737100 202221221101 404442442202 808884884404 1011106105505 2022212211010 4044424422020 5055530527525 10111061055050 20222122110100