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22121020100200 = 23527219118802471
BaseRepresentation
bin1010000011110011100111…
…00010111000111001101000
32220022202012220222102112011
411001321303202320321220
510344412322121201300
6115014131211525304
74442122333300300
oct501716342707150
986282186872464
1022121020100200
11705952117535a
122593250a59834
13c46007189548
1456693d714600
1528564266aeba
hex141e738b8e68

22121020100200 has 144 divisors (see below), whose sum is σ = 62977190407200. Its totient is φ = 7185173385600.

The previous prime is 22121020100183. The next prime is 22121020100209. The reversal of 22121020100200 is 200102012122.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22121020100209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59215036 + ... + 59587435.

It is an arithmetic number, because the mean of its divisors is an integer number (437341600050).

Almost surely, 222121020100200 is an apocalyptic number.

22121020100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121020100200 is an abundant number, since it is smaller than the sum of its proper divisors (40856170307000).

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

22121020100200 is a wasteful number, since it uses less digits than its factorization.

22121020100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118802520 (or 118802504 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22121020100200 its reverse (200102012122), we get a palindrome (22321122112322).

The spelling of 22121020100200 in words is "twenty-two trillion, one hundred twenty-one billion, twenty million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 49 50 56 70 76 95 98 100 133 140 152 175 190 196 200 245 266 280 350 380 392 475 490 532 665 700 760 931 950 980 1064 1225 1330 1400 1862 1900 1960 2450 2660 3325 3724 3800 4655 4900 5320 6650 7448 9310 9800 13300 18620 23275 26600 37240 46550 93100 186200 118802471 237604942 475209884 594012355 831617297 950419768 1188024710 1663234594 2257246949 2376049420 2970061775 3326469188 4158086485 4514493898 4752098840 5821321079 5940123550 6652938376 8316172970 9028987796 11286234745 11642642158 11880247100 15800728643 16632345940 18057975592 20790432425 22572469490 23285284316 23760494200 29106605395 31601457286 33264691880 41580864850 45144938980 46570568632 56431173725 58213210790 63202914572 79003643215 83161729700 90289877960 110605100501 112862347450 116426421580 126405829144 145533026975 158007286430 166323459400 221210201002 225724694900 232852843160 291066053950 316014572860 395018216075 442420402004 451449389800 553025502505 582132107900 632029145720 790036432150 884840804008 1106051005010 1164264215800 1580072864300 2212102010020 2765127512525 3160145728600 4424204020040 5530255025050 11060510050100 22121020100200