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22021200212100 = 22352377753255887
BaseRepresentation
bin1010000000111001101011…
…10100001111000010000100
32212222012120022020201100120
411000130311310033002010
510341243404223241400
6114500222201141540
74431656604244335
oct500346564170204
985865508221316
1022021200212100
117020158478a71
122577a3348a8b0
13c39789a8c8bb
14561b9057a28c
15282c4e15cca0
hex140735d0f084

22021200212100 has 144 divisors (see below), whose sum is σ = 65445386727168. Its totient is φ = 5712849423360.

The previous prime is 22021200212093. The next prime is 22021200212129. The reversal of 22021200212100 is 121200212022.

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 22021200212100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85930357 + ... + 86186243.

It is an arithmetic number, because the mean of its divisors is an integer number (454481852272).

Almost surely, 222021200212100 is an apocalyptic number.

22021200212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22021200212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32722693363584).

22021200212100 is an abundant number, since it is smaller than the sum of its proper divisors (43424186515068).

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

22021200212100 is a wasteful number, since it uses less digits than its factorization.

22021200212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263694 (or 263687 counting only the distinct ones).

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

Adding to 22021200212100 its reverse (121200212022), we get a palindrome (22142400424122).

The spelling of 22021200212100 in words is "twenty-two trillion, twenty-one billion, two hundred million, two hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 7753 11100 15506 23259 31012 38765 46518 77530 93036 116295 155060 193825 232590 255887 286861 387650 465180 511774 573722 581475 767661 775300 860583 1023548 1147444 1162950 1279435 1434305 1535322 1721166 2325900 2558870 2868610 3070644 3442332 3838305 4302915 5117740 5737220 6397175 7171525 7676610 8605830 9467819 12794350 14343050 15353220 17211660 18935638 19191525 21514575 25588700 28403457 28686100 37871276 38383050 43029150 47339095 56806914 76766100 86058300 94678190 113613828 142017285 189356380 236695475 284034570 473390950 568069140 710086425 946781900 1420172850 1983891911 2840345700 3967783822 5951675733 7935567644 9919459555 11903351466 19838919110 23806702932 29758378665 39677838220 49597297775 59516757330 73404000707 99194595550 119033514660 146808001414 148791893325 198389191100 220212002121 293616002828 297583786650 367020003535 440424004242 595167573300 734040007070 880848008484 1101060010605 1468080014140 1835100017675 2202120021210 3670200035350 4404240042420 5505300053025 7340400070700 11010600106050 22021200212100