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1022212112200 = 235227749184189
BaseRepresentation
bin11101110000000001001…
…01101111111101001000
310121201111201102122012021
432320000211233331020
5113221442300042300
62101333041054224
7133565240406436
oct16700045577510
93551451378167
101022212112200
113645770a7614
12146140927374
1375518055bb6
143769243dd56
151b8cb7e2d1a
hexee0096ff48

1022212112200 has 48 divisors (see below), whose sum is σ = 2376741712500. Its totient is φ = 408867889920.

The previous prime is 1022212112197. The next prime is 1022212112221. The reversal of 1022212112200 is 22112122201.

It is a happy number.

1022212112200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 304189753156 + 718022359044 = 551534^2 + 847362^2 .

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, 5457706 + ... + 5641894.

Almost surely, 21022212112200 is an apocalyptic number.

1022212112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022212112200 is an abundant number, since it is smaller than the sum of its proper divisors (1354529600300).

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

1022212112200 is a wasteful number, since it uses less digits than its factorization.

1022212112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211954 (or 211945 counting only the distinct ones).

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

Adding to 1022212112200 its reverse (22112122201), we get a palindrome (1044324234401).

The spelling of 1022212112200 in words is "one trillion, twenty-two billion, two hundred twelve million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 27749 55498 110996 138745 184189 221992 277490 368378 554980 693725 736756 920945 1109960 1387450 1473512 1841890 2774900 3683780 4604725 5549800 7367560 9209450 18418900 36837800 5111060561 10222121122 20444242244 25555302805 40888484488 51110605610 102221211220 127776514025 204442422440 255553028050 511106056100 1022212112200