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2201203121100 = 22352292391058627
BaseRepresentation
bin100000000010000001111…
…011100001101111001100
321210102200122000102100020
4200002001323201233030
5242031030444333400
64403115130102140
7315013602546534
oct40020173415714
97712618012306
102201203121100
1177958585a745
122b673657a950
1312c759bcb509
14787786744c4
153c3d1da72a0
hex20081ee1bcc

2201203121100 has 144 divisors (see below), whose sum is σ = 6616001548800. Its totient is φ = 564374693120.

The previous prime is 2201203121009. The next prime is 2201203121107. The reversal of 2201203121100 is 11213021022.

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 2201203121100.

It is not an unprimeable number, because it can be changed into a prime (2201203121107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1549987 + ... + 2608613.

It is an arithmetic number, because the mean of its divisors is an integer number (45944455200).

Almost surely, 22201203121100 is an apocalyptic number.

2201203121100 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 2201203121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3308000774400).

2201203121100 is an abundant number, since it is smaller than the sum of its proper divisors (4414798427700).

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

2201203121100 is a wasteful number, since it uses less digits than its factorization.

2201203121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058912 (or 1058905 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2201203121100 its reverse (11213021022), we get a palindrome (2212416142122).

The spelling of 2201203121100 in words is "two trillion, two hundred one billion, two hundred three million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 239 290 300 348 435 478 580 717 725 870 956 1195 1434 1450 1740 2175 2390 2868 2900 3585 4350 4780 5975 6931 7170 8700 11950 13862 14340 17925 20793 23900 27724 34655 35850 41586 69310 71700 83172 103965 138620 173275 207930 346550 415860 519825 693100 1039650 1058627 2079300 2117254 3175881 4234508 5293135 6351762 10586270 12703524 15879405 21172540 26465675 30700183 31758810 52931350 61400366 63517620 79397025 92100549 105862700 122800732 153500915 158794050 184201098 253011853 307001830 317588100 368402196 460502745 506023706 614003660 759035559 767504575 921005490 1012047412 1265059265 1518071118 1535009150 1842010980 2302513725 2530118530 3036142236 3070018300 3795177795 4605027450 5060237060 6325296325 7337343737 7590355590 9210054900 12650592650 14674687474 15180711180 18975888975 22012031211 25301185300 29349374948 36686718685 37951777950 44024062422 73373437370 75903555900 88048124844 110060156055 146746874740 183433593425 220120312110 366867186850 440240624220 550300780275 733734373700 1100601560550 2201203121100