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211013113222032 = 243111373291075053
BaseRepresentation
bin101111111110101001010001…
…101010000001001110010000
31000200010122201200010102202220
4233332221101222001032100
5210124214323441101112
62024442030322541040
762306123441200152
oct5776512152011620
91020118650112686
10211013113222032
116126518234a040
121b7bb908807780
1390985b33776c4
143a17136998ad2
15195de06ab298c
hexbfea51a81390

211013113222032 has 80 divisors (see below), whose sum is σ = 595106440803648. Its totient is φ = 63896795415040.

The previous prime is 211013113222031. The next prime is 211013113222057. The reversal of 211013113222032 is 230222311310112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 211013113221993 and 211013113222011.

It is not an unprimeable number, because it can be changed into a prime (211013113222031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144812583 + ... + 146262470.

Almost surely, 2211013113222032 is an apocalyptic number.

211013113222032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211013113222032 is an abundant number, since it is smaller than the sum of its proper divisors (384093327581616).

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

211013113222032 is a wasteful number, since it uses less digits than its factorization.

211013113222032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291076448 (or 291076442 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 211013113222032 its reverse (230222311310112), we get a palindrome (441235424532144).

The spelling of 211013113222032 in words is "two hundred eleven trillion, thirteen billion, one hundred thirteen million, two hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1373 2746 4119 5492 8238 10984 15103 16476 21968 30206 32952 45309 60412 65904 90618 120824 181236 241648 362472 724944 291075053 582150106 873225159 1164300212 1746450318 2328600424 3201825583 3492900636 4657200848 6403651166 6985801272 9605476749 12807302332 13971602544 19210953498 25614604664 38421906996 51229209328 76843813992 153687627984 399646047769 799292095538 1198938143307 1598584191076 2397876286614 3197168382152 4396106525459 4795752573228 6394336764304 8792213050918 9591505146456 13188319576377 17584426101836 19183010292912 26376639152754 35168852203672 52753278305508 70337704407344 105506556611016 211013113222032