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10000212200 = 2352114545551
BaseRepresentation
bin10010101000000111…
…10010000011101000
3221210221011102012122
421110003302003220
5130440023242300
64332151130412
7502546254416
oct112403620350
927727142178
1010000212200
11427194a490
121b31073a08
13c34a62c34
146ac1ba2b6
153d7e00c85
hex2540f20e8

10000212200 has 48 divisors (see below), whose sum is σ = 25364180160. Its totient is φ = 3636440000.

The previous prime is 10000212193. The next prime is 10000212227. The reversal of 10000212200 is 221200001.

Added to its reverse (221200001) it gives a square (10221412201 = 1011012).

It is a Harshad number since it is a multiple of its sum of digits (8).

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 11 ways as a sum of consecutive naturals, for example, 2270576 + ... + 2274975.

It is an arithmetic number, because the mean of its divisors is an integer number (528420420).

Almost surely, 210000212200 is an apocalyptic number.

10000212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000212200 is an abundant number, since it is smaller than the sum of its proper divisors (15363967960).

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

10000212200 is a wasteful number, since it uses less digits than its factorization.

10000212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4545578 (or 4545569 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 10000212200 its reverse (221200001), we get a palindrome (10221412201).

The spelling of 10000212200 in words is "ten billion, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 4545551 9091102 18182204 22727755 36364408 45455510 50001061 90911020 100002122 113638775 181822040 200004244 227277550 250005305 400008488 454555100 500010610 909110200 1000021220 1250026525 2000042440 2500053050 5000106100 10000212200