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22012122110100 = 22352147150819817
BaseRepresentation
bin1010000000101000110001…
…01110000001100010010100
32212221100010122012100112120
411000110120232001202110
510341121311230010400
6114452121310015540
74431215622533553
oct500243056014224
985840118170476
1022012122110100
11701731a092631
12257611b1a75b0
13c38971095105
1456156ca33d9a
152828bc1a4ca0
hex140518b81894

22012122110100 has 144 divisors (see below), whose sum is σ = 63750739024896. Its totient is φ = 5864156928000.

The previous prime is 22012122110047. The next prime is 22012122110107. The reversal of 22012122110100 is 101122121022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22012122110100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22012122110107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2242240392 + ... + 2242250208.

Almost surely, 222012122110100 is an apocalyptic number.

22012122110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22012122110100 is an abundant number, since it is smaller than the sum of its proper divisors (41738616914796).

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

22012122110100 is a wasteful number, since it uses less digits than its factorization.

22012122110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16386 (or 16379 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 22012122110100 its reverse (101122121022), we get a palindrome (22113244231122).

The spelling of 22012122110100 in words is "twenty-two trillion, twelve billion, one hundred twenty-two million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1471 2942 4413 5081 5884 7355 8826 9817 10162 14710 15243 17652 19634 20324 22065 25405 29420 29451 30486 36775 39268 44130 49085 50810 58902 60972 73550 76215 88260 98170 101620 110325 117804 127025 147100 147255 152430 196340 220650 245425 254050 294510 304860 381075 441300 490850 508100 589020 736275 762150 981700 1472550 1524300 2945100 7474151 14440807 14948302 22422453 28881614 29896604 37370755 43322421 44844906 49880177 57763228 72204035 74741510 86644842 89689812 99760354 112112265 144408070 149483020 149640531 173289684 186853775 199520708 216612105 224224530 249400885 288816140 299281062 361020175 373707550 433224210 448449060 498801770 560561325 598562124 722040350 747415100 748202655 866448420 997603540 1083060525 1121122650 1247004425 1444080700 1496405310 2166121050 2242245300 2494008850 2992810620 3741013275 4332242100 4988017700 7482026550 14964053100 73373740367 146747480734 220121221101 293494961468 366868701835 440242442202 733737403670 880484884404 1100606105505 1467474807340 1834343509175 2201212211010 3668687018350 4402424422020 5503030527525 7337374036700 11006061055050 22012122110100