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812112114 = 2311291014201
BaseRepresentation
bin110000011001111…
…101100011110010
32002121010120101110
4300121331203302
53130400041424
6212330214150
726060560542
oct6031754362
92077116343
10812112114
11387463940
121a7b84356
13cc333c18
1479bdd322
154b46ac29
hex3067d8f2

812112114 has 64 divisors (see below), whose sum is σ = 1851569280. Its totient is φ = 235200000.

The previous prime is 812112113. The next prime is 812112121. The reversal of 812112114 is 411211218.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (812112113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191214 + ... + 195414.

It is an arithmetic number, because the mean of its divisors is an integer number (28930770).

Almost surely, 2812112114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812112114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925784640).

812112114 is an abundant number, since it is smaller than the sum of its proper divisors (1039457166).

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

812112114 is a wasteful number, since it uses less digits than its factorization.

812112114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4347.

The product of its digits is 128, while the sum is 21.

The square root of 812112114 is about 28497.5808446963. The cubic root of 812112114 is about 932.9792744070.

The spelling of 812112114 in words is "eight hundred twelve million, one hundred twelve thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 101 174 202 303 319 606 638 957 1111 1914 2222 2929 3333 4201 5858 6666 8402 8787 12603 17574 25206 32219 46211 64438 92422 96657 121829 138633 193314 243658 277266 365487 424301 730974 848602 1272903 1340119 2545806 2680238 4020357 4667311 8040714 9334622 12304729 14001933 24609458 28003866 36914187 73828374 135352019 270704038 406056057 812112114