Search a number
-
+
22112202100122 = 23241671850324169
BaseRepresentation
bin1010000011100011001011…
…11100111000110110011010
32220021220110101100121110200
411001301211330320312122
510344241242214200442
6115010112211323030
74441360660444251
oct501614574706632
986256411317420
1022112202100122
117055806692392
1225915ab8b0476
13c45230330514
14566344557798
152852c844034c
hex141c65f38d9a

22112202100122 has 96 divisors (see below), whose sum is σ = 49815567285120. Its totient is φ = 7082956362240.

The previous prime is 22112202100111. The next prime is 22112202100187. The reversal of 22112202100122 is 22100120221122.

It is a happy number.

22112202100122 is a `hidden beast` number, since 2 + 211 + 220 + 210 + 0 + 1 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22112202100095 and 22112202100104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 914887254 + ... + 914911422.

It is an arithmetic number, because the mean of its divisors is an integer number (518912159220).

Almost surely, 222112202100122 is an apocalyptic number.

22112202100122 is an abundant number, since it is smaller than the sum of its proper divisors (27703365184998).

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

22112202100122 is a wasteful number, since it uses less digits than its factorization.

22112202100122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42788 (or 42785 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22112202100122 its reverse (22100120221122), we get a palindrome (44212322321244).

The spelling of 22112202100122 in words is "twenty-two trillion, one hundred twelve billion, two hundred two million, one hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 41 67 82 123 134 201 246 369 402 603 738 1206 2747 5494 8241 16482 18503 24169 24723 37006 48338 49446 55509 72507 111018 145014 166527 217521 333054 435042 758623 990929 1239701 1517246 1619323 1981858 2275869 2479402 2972787 3238646 3719103 4551738 4857969 5945574 6827607 7438206 8918361 9715938 11157309 13655214 14573907 17836722 22314618 29147814 50827741 66392243 101655482 132784486 152483223 199176729 304966446 398353458 447199007 457449669 597530187 894398014 914899338 1195060374 1341597021 2683194042 4024791063 8049582126 18335159287 29962333469 36670318574 55005477861 59924666938 89887000407 110010955722 165016433583 179774000814 269661001221 330032867166 539322002442 1228455672229 2456911344458 3685367016687 7370734033374 11056101050061 22112202100122