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22011022100100 = 22352116670006697
BaseRepresentation
bin1010000000100110101110…
…01001110100011010000100
32212221020021222100001111110
411000103113021310122010
510341112033124200400
6114451420213005020
74431146434566405
oct500232711643204
985836258301443
1022011022100100
117016905170860
122575a72923770
13c3882720ca17
145614a68d19ac
1528285581ae50
hex1404d7274684

22011022100100 has 72 divisors (see below), whose sum is σ = 69474789766368. Its totient is φ = 5336005356800.

The previous prime is 22011022100099. The next prime is 22011022100153. The reversal of 22011022100100 is 100122011022.

It is a super-2 number, since 2×220110221001002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3335000049 + ... + 3335006648.

It is an arithmetic number, because the mean of its divisors is an integer number (964927635644).

Almost surely, 222011022100100 is an apocalyptic number.

22011022100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22011022100100 is an abundant number, since it is smaller than the sum of its proper divisors (47463767666268).

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

22011022100100 is a wasteful number, since it uses less digits than its factorization.

22011022100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6670006725 (or 6670006718 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22011022100100 its reverse (100122011022), we get a palindrome (22111144111122).

It can be divided in two parts, 22011022 and 100100, that added together give a palindrome (22111122).

The spelling of 22011022100100 in words is "twenty-two trillion, eleven billion, twenty-two million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 6670006697 13340013394 20010020091 26680026788 33350033485 40020040182 66700066970 73370073667 80040080364 100050100455 133400133940 146740147334 166750167425 200100200910 220110221001 293480294668 333500334850 366850368335 400200401820 440220442002 500250502275 667000669700 733700736670 880440884004 1000501004550 1100551105005 1467401473340 1834251841675 2001002009100 2201102210010 3668503683350 4402204420020 5502755525025 7337007366700 11005511050050 22011022100100