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200022203144112 = 243971011847230291
BaseRepresentation
bin101101011110101101001100…
…010111011001011110110000
3222020012221021020202122101020
4231132231030113121132300
5202204130433001102422
61545224533115535440
760063061442034216
oct5536551427313660
9866187236678336
10200022203144112
1158807a3811a128
121a52578715a580
13877c02222928b
1437571aa764cb6
15181d08344895c
hexb5eb4c5d97b0

200022203144112 has 160 divisors (see below), whose sum is σ = 527507636350464. Its totient is φ = 65297716224000.

The previous prime is 200022203144047. The next prime is 200022203144131. The reversal of 200022203144112 is 211441302220002.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 868447687 + ... + 868677977.

Almost surely, 2200022203144112 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 200022203144112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263753818175232).

200022203144112 is an abundant number, since it is smaller than the sum of its proper divisors (327485433206352).

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

200022203144112 is a wasteful number, since it uses less digits than its factorization.

200022203144112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232347 (or 232341 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 200022203144112 its reverse (211441302220002), we get a palindrome (411463505364114).

The spelling of 200022203144112 in words is "two hundred trillion, twenty-two billion, two hundred three million, one hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 101 194 202 291 303 388 404 582 606 776 808 1164 1212 1552 1616 1847 2328 2424 3694 4656 4848 5541 7388 9797 11082 14776 19594 22164 29391 29552 39188 44328 58782 78376 88656 117564 156752 179159 186547 230291 235128 358318 373094 460582 470256 537477 559641 690873 716636 746188 921164 1074954 1119282 1381746 1433272 1492376 1842328 2149908 2238564 2763492 2866544 2984752 3684656 4299816 4477128 5526984 8599632 8954256 11053968 18095059 22338227 23259391 36190118 44676454 46518782 54285177 67014681 69778173 72380236 89352908 93037564 108570354 134029362 139556346 144760472 178705816 186075128 217140708 268058724 279112692 289520944 357411632 372150256 425347477 434281416 536117448 558225384 850694954 868562832 1072234896 1116450768 1276042431 1701389908 2256160927 2552084862 3402779816 4512321854 5104169724 6768482781 6805559632 9024643708 10208339448 13536965562 18049287416 20416678896 27073931124 36098574832 41258705269 42960095177 54147862248 82517410538 85920190354 108295724496 123776115807 128880285531 165034821076 171840380708 247552231614 257760571062 330069642152 343680761416 495104463228 515521142124 660139284304 687361522832 990208926456 1031042284248 1980417852912 2062084568496 4167129232169 8334258464338 12501387696507 16668516928676 25002775393014 33337033857352 50005550786028 66674067714704 100011101572056 200022203144112