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22100202200112 = 24319103653360289
BaseRepresentation
bin1010000011001100110101…
…01100111001110000110000
32220020202111002102112021120
411001212122230321300300
510344042203230400422
6115000405344022240
74440454420125111
oct501463254716060
986222432375246
1022100202200112
117050708a99953
12258b201001980
13c4406a20237a
14565926964208
15284d24bde45c
hex14199ab39c30

22100202200112 has 160 divisors (see below), whose sum is σ = 60773601907200. Its totient is φ = 6900650827776.

The previous prime is 22100202200107. The next prime is 22100202200177. The reversal of 22100202200112 is 21100220200122.

It is a junction number, because it is equal to n+sod(n) for n = 22100202200091 and 22100202200100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61160064 + ... + 61520352.

It is an arithmetic number, because the mean of its divisors is an integer number (379835011920).

Almost surely, 222100202200112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22100202200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30386800953600).

22100202200112 is an abundant number, since it is smaller than the sum of its proper divisors (38673399707088).

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

22100202200112 is a wasteful number, since it uses less digits than its factorization.

22100202200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361075 (or 361069 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22100202200112 its reverse (21100220200122), we get a palindrome (43200422400234).

The spelling of 22100202200112 in words is "twenty-two trillion, one hundred billion, two hundred two million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 103 114 152 206 228 304 309 412 456 618 653 824 912 1236 1306 1648 1957 1959 2472 2612 3914 3918 4944 5224 5871 7828 7836 10448 11742 12407 15656 15672 23484 24814 31312 31344 37221 46968 49628 67259 74442 93936 99256 134518 148884 198512 201777 269036 297768 360289 403554 538072 595536 720578 807108 1076144 1080867 1277921 1441156 1614216 2161734 2555842 2882312 3228432 3833763 4323468 5111684 5764624 6845491 7667526 8646936 10223368 13690982 15335052 17293872 20446736 20536473 27381964 30670104 37109767 41072946 54763928 61340208 74219534 82145892 109527856 111329301 148439068 164291784 222658602 235268717 296878136 328583568 445317204 470537434 593756272 705085573 705806151 890634408 941074868 1410171146 1411612302 1781268816 1882149736 2115256719 2820342292 2823224604 3764299472 4230513438 4470105623 5640684584 5646449208 8461026876 8940211246 11281369168 11292898416 13410316869 16922053752 17880422492 24232677851 26820633738 33844107504 35760844984 48465355702 53641267476 71521689968 72698033553 96930711404 107282534952 145396067106 193861422808 214565069904 290792134212 387722845616 460420879169 581584268424 920841758338 1163168536848 1381262637507 1841683516676 2762525275014 3683367033352 5525050550028 7366734066704 11050101100056 22100202200112