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22201201201300 = 22521137975623547
BaseRepresentation
bin1010000110001000111101…
…01101100001000010010100
32220121102011212212101112021
411003010132231201002110
510402221030001420200
6115115031355102524
74450661314354402
oct503043655410224
986542155771467
1022201201201300
11708a527326370
1225a68a9441a44
13c5074498c474
1456a788552472
152877869ae41a
hex14311eb61094

22201201201300 has 144 divisors (see below), whose sum is σ = 54533209526208. Its totient is φ = 7773989990400.

The previous prime is 22201201201241. The next prime is 22201201201321. The reversal of 22201201201300 is 310210210222.

It is a happy number.

It is a congruent number.

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, 1136127 + ... + 6759673.

It is an arithmetic number, because the mean of its divisors is an integer number (378702843932).

Almost surely, 222201201201300 is an apocalyptic number.

22201201201300 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 22201201201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27266604763104).

22201201201300 is an abundant number, since it is smaller than the sum of its proper divisors (32332008324908).

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

22201201201300 is a wasteful number, since it uses less digits than its factorization.

22201201201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5623706 (or 5623699 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 22201201201300 its reverse (310210210222), we get a palindrome (22511411411522).

The spelling of 22201201201300 in words is "twenty-two trillion, two hundred one billion, two hundred one million, two hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 37 44 50 55 74 97 100 110 148 185 194 220 275 370 388 407 485 550 740 814 925 970 1067 1100 1628 1850 1940 2035 2134 2425 3589 3700 4070 4268 4850 5335 7178 8140 9700 10175 10670 14356 17945 20350 21340 26675 35890 39479 40700 53350 71780 78958 89725 106700 157916 179450 197395 358900 394790 789580 986975 1973950 3947900 5623547 11247094 22494188 28117735 56235470 61859017 112470940 123718034 140588675 208071239 247436068 281177350 309295085 416142478 545484059 562354700 618590170 832284956 1040356195 1090968118 1237180340 1546475425 2080712390 2181936236 2288783629 2727420295 3092950850 4161424780 4577567258 5201780975 5454840590 6000324649 6185901700 9155134516 10403561950 10909681180 11443918145 12000649298 13637101475 20182910183 20807123900 22887836290 24001298596 27274202950 30001623245 40365820366 45775672580 54548405900 57219590725 60003246490 80731640732 100914550915 114439181450 120006492980 150008116225 201829101830 222012012013 228878362900 300016232450 403658203660 444024024026 504572754575 600032464900 888048048052 1009145509150 1110060060065 2018291018300 2220120120130 4440240240260 5550300300325 11100600600650 22201201201300