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22102000122120 = 23354340111106787
BaseRepresentation
bin1010000011010000001011…
…10111011011100100001000
32220020221010101112102121120
411001220011313123210020
510344104344012401440
6115001304011435240
74440550111166202
oct501500567334410
986227111472546
1022102000122120
117051450964306
12258b623155b20
13c44295845649
14565a57659772
15284dcc986dd0
hex141a05ddb908

22102000122120 has 128 divisors (see below), whose sum is σ = 67850327255040. Its totient is φ = 5756602602240.

The previous prime is 22102000122119. The next prime is 22102000122229. The reversal of 22102000122120 is 2122100020122.

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 22102000122120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206919367 + ... + 207026153.

It is an arithmetic number, because the mean of its divisors is an integer number (530080681680).

Almost surely, 222102000122120 is an apocalyptic number.

22102000122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22102000122120 is an abundant number, since it is smaller than the sum of its proper divisors (45748327132920).

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

22102000122120 is a wasteful number, since it uses less digits than its factorization.

22102000122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146955 (or 146951 counting only the distinct ones).

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

Adding to 22102000122120 its reverse (2122100020122), we get a palindrome (24224100142242).

The spelling of 22102000122120 in words is "twenty-two trillion, one hundred two billion, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 40111 80222 106787 120333 160444 200555 213574 240666 320361 320888 401110 427148 481332 533935 601665 640722 802220 854296 962664 1067870 1203330 1281444 1601805 1604440 1724773 2135740 2406660 2562888 3203610 3449546 4271480 4591841 4813320 5174319 6407220 6899092 8623865 9183682 10348638 12814440 13775523 13798184 17247730 18367364 20697276 22959205 25871595 27551046 34495460 36734728 41394552 45918410 51743190 55102092 68877615 68990920 91836820 103486380 110204184 137755230 183673640 206972760 275510460 551020920 4283333357 8566666714 12850000071 17133333428 21416666785 25700000142 34266666856 42833333570 51400000284 64250000355 85666667140 102800000568 128500000710 171333334280 184183334351 257000001420 368366668702 514000002840 552550003053 736733337404 920916671755 1105100006106 1473466674808 1841833343510 2210200012212 2762750015265 3683666687020 4420400024424 5525500030530 7367333374040 11051000061060 22102000122120