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212234041113210 = 23353173637681787
BaseRepresentation
bin110000010000011010010110…
…101000010011101001111010
31000211110101011020100120102000
4300100122112220103221322
5210304220304011110320
62031214550020521430
762463255250062204
oct6020322650235172
91024411136316360
10212234041113210
1161695a51307566
121b978466b50276
13915677964a86c
143a5a27a705774
151980a63c04c90
hexc10696a13a7a

212234041113210 has 128 divisors (see below), whose sum is σ = 567899732586240. Its totient is φ = 56401614081792.

The previous prime is 212234041113181. The next prime is 212234041113293. The reversal of 212234041113210 is 12311140432212.

212234041113210 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 34 + 0 + 411 + 1 + 3 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 310949937 + ... + 311631723.

It is an arithmetic number, because the mean of its divisors is an integer number (4436716660830).

Almost surely, 2212234041113210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212234041113210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283949866293120).

212234041113210 is an abundant number, since it is smaller than the sum of its proper divisors (355665691473030).

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

212234041113210 is a wasteful number, since it uses less digits than its factorization.

212234041113210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685757 (or 685751 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 212234041113210 its reverse (12311140432212), we get a palindrome (224545181545422).

The spelling of 212234041113210 in words is "two hundred twelve trillion, two hundred thirty-four billion, forty-one million, one hundred thirteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 317 634 951 1585 1902 2853 3170 3637 4755 5706 7274 8559 9510 10911 14265 17118 18185 21822 28530 32733 36370 42795 54555 65466 85590 98199 109110 163665 196398 327330 490995 681787 981990 1152929 1363574 2045361 2305858 3408935 3458787 4090722 5764645 6136083 6817870 6917574 10226805 10376361 11529290 12272166 17293935 18408249 20453610 20752722 30680415 31129083 34587870 36816498 51881805 61360830 62258166 92041245 103763610 155645415 184082490 216126479 311290830 432252958 648379437 1080632395 1296758874 1945138311 2161264790 2479659319 3241897185 3890276622 4959318638 5835414933 6483794370 7438977957 9725691555 11670829866 12398296595 14877955914 19451383110 22316933871 24796593190 29177074665 37194889785 44633867742 58354149330 66950801613 74389779570 111584669355 133901603226 223169338710 334754008065 669508016130 786052004123 1572104008246 2358156012369 3930260020615 4716312024738 7074468037107 7860520041230 11790780061845 14148936074214 21223404111321 23581560123690 35372340185535 42446808222642 70744680371070 106117020556605 212234041113210