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201202211120200 = 235210131731421153
BaseRepresentation
bin101101101111111000001010…
…010100100110010001001000
3222101101202002000221201020121
4231233320022110212101020
5202332444112021321300
61551531004134033024
760244244233243243
oct5557701224462110
9871352060851217
10201202211120200
1159122418934804
121a6964054a8774
13883639699c924
14379834ba8225a
15183dae7e4181a
hexb6fe0a526448

201202211120200 has 96 divisors (see below), whose sum is σ = 473917096281960. Its totient is φ = 79432672256000.

The previous prime is 201202211120161. The next prime is 201202211120233. The reversal of 201202211120200 is 2021112202102.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 3850456458564 + 197351754661636 = 1962258^2 + 14048194^2 .

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, 9307177 + ... + 22113976.

Almost surely, 2201202211120200 is an apocalyptic number.

201202211120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201202211120200 is an abundant number, since it is smaller than the sum of its proper divisors (272714885161760).

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

201202211120200 is a wasteful number, since it uses less digits than its factorization.

201202211120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31421587 (or 31421578 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201202211120200 its reverse (2021112202102), we get a palindrome (203223323322302).

The spelling of 201202211120200 in words is "two hundred one trillion, two hundred two billion, two hundred eleven million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 317 404 505 634 808 1010 1268 1585 2020 2525 2536 3170 4040 5050 6340 7925 10100 12680 15850 20200 31700 32017 63400 64034 128068 160085 256136 320170 640340 800425 1280680 1600850 3201700 6403400 31421153 62842306 125684612 157105765 251369224 314211530 628423060 785528825 1256846120 1571057650 3142115300 3173536453 6284230600 6347072906 9960505501 12694145812 15867682265 19921011002 25388291624 31735364530 39842022004 49802527505 63470729060 79338411325 79684044008 99605055010 126941458120 158676822650 199210110020 249012637525 317353645300 398420220040 498025275050 634707290600 996050550100 1006011055601 1992101100200 2012022111202 4024044222404 5030055278005 8048088444808 10060110556010 20120221112020 25150276390025 40240442224040 50300552780050 100601105560100 201202211120200