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12022011100 = 22521159712609
BaseRepresentation
bin10110011001001000…
…10101010011011100
31011000211112102220101
423030210111103130
5144110113323400
65304533230444
7603626260021
oct131444252334
934024472811
1012022011100
11510a125970
1223b6192424
1311978a0448
1482090b548
154a566c56a
hex2cc9154dc

12022011100 has 144 divisors (see below), whose sum is σ = 29360620800. Its totient is φ = 4235392000.

The previous prime is 12022011097. The next prime is 12022011101. The reversal of 12022011100 is 111022021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022011101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4606596 + ... + 4609204.

It is an arithmetic number, because the mean of its divisors is an integer number (203893200).

Almost surely, 212022011100 is an apocalyptic number.

12022011100 is a gapful number since it is divisible by the number (10) 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 12022011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14680310400).

12022011100 is an abundant number, since it is smaller than the sum of its proper divisors (17338609700).

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

12022011100 is a wasteful number, since it uses less digits than its factorization.

12022011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12022011100 its reverse (111022021), we get a palindrome (12133033121).

The spelling of 12022011100 in words is "twelve billion, twenty-two million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 59 71 100 110 118 142 220 236 275 284 295 355 550 590 649 710 781 1100 1180 1298 1420 1475 1562 1775 2596 2609 2950 3124 3245 3550 3905 4189 5218 5900 6490 7100 7810 8378 10436 12980 13045 15620 16225 16756 19525 20945 26090 28699 32450 39050 41890 46079 52180 57398 64900 65225 78100 83780 92158 104725 114796 130450 143495 153931 184316 185239 209450 230395 260900 286990 307862 370478 418900 460790 573980 615724 717475 740956 769655 921580 926195 1151975 1434950 1539310 1693241 1852390 2037629 2303950 2869900 3078620 3386482 3704780 3848275 4075258 4607900 4630975 6772964 7696550 8150516 8466205 9261950 10188145 10929101 15393100 16932410 18523900 20376290 21858202 33864820 40752580 42331025 43716404 50940725 54645505 84662050 101881450 109291010 120220111 169324100 203762900 218582020 240440222 273227525 480880444 546455050 601100555 1092910100 1202201110 2404402220 3005502775 6011005550 12022011100