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10222101212200 = 235289574275349
BaseRepresentation
bin1001010011000000010010…
…1101100010110000101000
31100012020000210211211211121
42110300010231202300220
52314434330402242300
633423545104505024
72103344124451303
oct224600455426050
940166023754747
1010222101212200
113291194710049
12119114101b174
13591c2b275b47
14274a765b9b3a
1512ad7883981a
hex94c04b62c28

10222101212200 has 48 divisors (see below), whose sum is σ = 24033423397500. Its totient is φ = 4042898449920.

The previous prime is 10222101212179. The next prime is 10222101212231. The reversal of 10222101212200 is 221210122201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1156738968324 + 9065362243876 = 1075518^2 + 3010874^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 287119875 + ... + 287155474.

Almost surely, 210222101212200 is an apocalyptic number.

10222101212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222101212200 is an abundant number, since it is smaller than the sum of its proper divisors (13811322185300).

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

10222101212200 is a wasteful number, since it uses less digits than its factorization.

10222101212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574275454 (or 574275445 counting only the distinct ones).

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

Adding to 10222101212200 its reverse (221210122201), we get a palindrome (10443311334401).

The spelling of 10222101212200 in words is "ten trillion, two hundred twenty-two billion, one hundred one million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 178 200 356 445 712 890 1780 2225 3560 4450 8900 17800 574275349 1148550698 2297101396 2871376745 4594202792 5742753490 11485506980 14356883725 22971013960 28713767450 51110506061 57427534900 102221012122 114855069800 204442024244 255552530305 408884048488 511105060610 1022210121220 1277762651525 2044420242440 2555525303050 5111050606100 10222101212200