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211330122012 = 2236174141627
BaseRepresentation
bin1100010011010001000…
…0011100000100011100
3202012110221220112000000
43010310100130010130
511430301002401022
6241030025534300
721160646253462
oct3046420340434
9665427815000
10211330122012
11816963875a9
1234b5a044390
1316c0b75cc99
14a32ab66832
15576cec26ac
hex313441c11c

211330122012 has 84 divisors (see below), whose sum is σ = 554819732376. Its totient is φ = 70401221280.

The previous prime is 211330122011. The next prime is 211330122013. The reversal of 211330122012 is 210221033112.

211330122012 is a `hidden beast` number, since 211 + 330 + 122 + 0 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (211330122011) and next prime (211330122013).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211330122011) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5055943 + ... + 5097569.

It is an arithmetic number, because the mean of its divisors is an integer number (6604996814).

Almost surely, 2211330122012 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 211330122012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277409866188).

211330122012 is an abundant number, since it is smaller than the sum of its proper divisors (343489610364).

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

211330122012 is a wasteful number, since it uses less digits than its factorization.

211330122012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43390 (or 43373 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 211330122012 its reverse (210221033112), we get a palindrome (421551155124).

The spelling of 211330122012 in words is "two hundred eleven billion, three hundred thirty million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 1741 2916 3482 5223 6964 10446 15669 20892 31338 41627 47007 62676 83254 94014 124881 141021 166508 188028 249762 282042 374643 423063 499524 564084 749286 846126 1123929 1269189 1498572 1692252 2247858 2538378 3371787 4495716 5076756 6743574 10115361 13487148 20230722 30346083 40461444 60692166 72472607 121384332 144945214 217417821 289890428 434835642 652253463 869671284 1304506926 1956760389 2609013852 3913520778 5870281167 7827041556 11740562334 17610843501 23481124668 35221687002 52832530503 70443374004 105665061006 211330122012