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2201200200120 = 233571258356831
BaseRepresentation
bin100000000010000001110…
…000011000100110111000
321210102200102112000111210
4200002001300120212320
5242031024222400440
64403114543323120
7315013535662545
oct40020160304670
97712612460453
102201200200120
11779584145109
122b67355b04a0
1312c759417b1c
1478778113bcc
153c3d19cba80
hex20081c189b8

2201200200120 has 64 divisors (see below), whose sum is σ = 6696609085440. Its totient is φ = 578719299200.

The previous prime is 2201200200097. The next prime is 2201200200131. The reversal of 2201200200120 is 210020021022.

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

It is a junction number, because it is equal to n+sod(n) for n = 2201200200096 and 2201200200105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129169896 + ... + 129186935.

It is an arithmetic number, because the mean of its divisors is an integer number (104634516960).

Almost surely, 22201200200120 is an apocalyptic number.

2201200200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201200200120 is an abundant number, since it is smaller than the sum of its proper divisors (4495408885320).

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

2201200200120 is a wasteful number, since it uses less digits than its factorization.

2201200200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258356916 (or 258356912 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2201200200120 its reverse (210020021022), we get a palindrome (2411220221142).

The spelling of 2201200200120 in words is "two trillion, two hundred one billion, two hundred million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1420 1704 2130 2840 4260 8520 258356831 516713662 775070493 1033427324 1291784155 1550140986 2066854648 2583568310 3100281972 3875352465 5167136620 6200563944 7750704930 10334273240 15501409860 18343335001 31002819720 36686670002 55030005003 73373340004 91716675005 110060010006 146746680008 183433350010 220120020012 275150025015 366866700020 440240040024 550300050030 733733400040 1100600100060 2201200200120