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3031212200 = 2352172573469
BaseRepresentation
bin1011010010101100…
…1010000010101000
321211020202112102112
42310223022002220
522201442242300
61220441221452
7135054610232
oct26453120250
97736675375
103031212200
111316049655
12707191888
13393cc21b3
1420a80d252
1512b1abe35
hexb4aca0a8

3031212200 has 96 divisors (see below), whose sum is σ = 7493326200. Its totient is φ = 1136394240.

The previous prime is 3031212187. The next prime is 3031212227. The reversal of 3031212200 is 22121303.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 504541444 + 2526670756 = 22462^2 + 50266^2 .

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 23 ways as a sum of consecutive naturals, for example, 872066 + ... + 875534.

Almost surely, 23031212200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3031212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3746663100).

3031212200 is an abundant number, since it is smaller than the sum of its proper divisors (4462114000).

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

3031212200 is a wasteful number, since it uses less digits than its factorization.

3031212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3759 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 3031212200 is about 55056.4455808764. The cubic root of 3031212200 is about 1447.2340772462.

Adding to 3031212200 its reverse (22121303), we get a palindrome (3053333503).

The spelling of 3031212200 in words is "three billion, thirty-one million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 257 340 425 514 680 850 1028 1285 1700 2056 2570 3400 3469 4369 5140 6425 6938 8738 10280 12850 13876 17345 17476 21845 25700 27752 34690 34952 43690 51400 58973 69380 86725 87380 109225 117946 138760 173450 174760 218450 235892 294865 346900 436900 471784 589730 693800 873800 891533 1179460 1474325 1783066 2358920 2948650 3566132 4457665 5897300 7132264 8915330 11794600 15156061 17830660 22288325 30312122 35661320 44576650 60624244 75780305 89153300 121248488 151560610 178306600 303121220 378901525 606242440 757803050 1515606100 3031212200