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20112410340 = 223251119352631
BaseRepresentation
bin10010101110110010…
…110000011011100100
31220220200001022020200
4102232302300123210
5312142234112330
613123422430500
71311255444561
oct225662603344
956820038220
1020112410340
118590a27630
123a93732430
131b86a75129
14d8b1c7868
157caa72a60
hex4aecb06e4

20112410340 has 144 divisors (see below), whose sum is σ = 66899903616. Its totient is φ = 4850380800.

The previous prime is 20112410323. The next prime is 20112410341. The reversal of 20112410340 is 4301421102.

20112410340 is a `hidden beast` number, since 201 + 12 + 410 + 3 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20112410341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 355825 + ... + 408455.

It is an arithmetic number, because the mean of its divisors is an integer number (464582664).

Almost surely, 220112410340 is an apocalyptic number.

20112410340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20112410340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33449951808).

20112410340 is an abundant number, since it is smaller than the sum of its proper divisors (46787493276).

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

20112410340 is a wasteful number, since it uses less digits than its factorization.

20112410340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52850 (or 52845 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20112410340 its reverse (4301421102), we get a palindrome (24413831442).

The spelling of 20112410340 in words is "twenty billion, one hundred twelve million, four hundred ten thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 193 198 220 330 386 396 495 579 660 772 965 990 1158 1737 1930 1980 2123 2316 2895 3474 3860 4246 5790 6369 6948 8492 8685 10615 11580 12738 17370 19107 21230 25476 31845 34740 38214 42460 52631 63690 76428 95535 105262 127380 157893 191070 210524 263155 315786 382140 473679 526310 578941 631572 789465 947358 1052620 1157882 1578930 1736823 1894716 2315764 2368395 2894705 3157860 3473646 4736790 5210469 5789410 6947292 8684115 9473580 10157783 10420938 11578820 17368230 20315566 20841876 26052345 30473349 34736460 40631132 50788915 52104690 60946698 91420047 101577830 104209380 111735613 121893396 152366745 182840094 203155660 223471226 304733490 335206839 365680188 446942452 457100235 558678065 609466980 670413678 914200470 1005620517 1117356130 1340827356 1676034195 1828400940 2011241034 2234712260 3352068390 4022482068 5028102585 6704136780 10056205170 20112410340