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2212102100 = 2252131701617
BaseRepresentation
bin1000001111011001…
…1111111111010100
312201011110102121102
42003312133333110
514012244231400
61003301005232
7105550362155
oct20366377724
95634412542
102212102100
11a3574605a
125189b3818
132933aac70
1416db0b92c
15ce30c9d5
hex83d9ffd4

2212102100 has 36 divisors (see below), whose sum is σ = 5169515484. Its totient is φ = 816775680.

The previous prime is 2212102097. The next prime is 2212102103. The reversal of 2212102100 is 12012122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2212102097) and next prime (2212102103).

It can be written as a sum of positive squares in 6 ways, for example, as 51897616 + 2160204484 = 7204^2 + 46478^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212102103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 849509 + ... + 852108.

Almost surely, 22212102100 is an apocalyptic number.

2212102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212102100 is an abundant number, since it is smaller than the sum of its proper divisors (2957413384).

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

2212102100 is a wasteful number, since it uses less digits than its factorization.

2212102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701644 (or 1701637 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2212102100 is about 47032.9894861043. The cubic root of 2212102100 is about 1302.9719186939.

Adding to 2212102100 its reverse (12012122), we get a palindrome (2224114222).

The spelling of 2212102100 in words is "two billion, two hundred twelve million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1701617 3403234 6806468 8508085 17016170 22121021 34032340 42540425 44242042 85080850 88484084 110605105 170161700 221210210 442420420 553025525 1106051050 2212102100