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211112132120320 = 285179701844307
BaseRepresentation
bin110000000000000101011111…
…101001001000111100000000
31000200111010022110122122111011
4300000011133221020330000
5210132330121310322240
62024555324041330304
762316230303014624
oct6000053751107400
91020433273578434
10211112132120320
11612a3174999982
121b816b41a96994
1390a4a33835a92
143a1bc4b5cb184
15196179eb006ea
hexc0015fa48f00

211112132120320 has 72 divisors (see below), whose sum is σ = 535425383669904. Its totient is φ = 79477508554752.

The previous prime is 211112132120291. The next prime is 211112132120363. The reversal of 211112132120320 is 23021231211112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 211112132120291 and 211112132120300.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4850900394 + ... + 4850943913.

It is an arithmetic number, because the mean of its divisors is an integer number (7436463662082).

Almost surely, 2211112132120320 is an apocalyptic number.

211112132120320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211112132120320 is an abundant number, since it is smaller than the sum of its proper divisors (324313251549584).

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

211112132120320 is an equidigital number, since it uses as much as digits as its factorization.

211112132120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9701844345 (or 9701844331 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 211112132120320 its reverse (23021231211112), we get a palindrome (234133363331432).

The spelling of 211112132120320 in words is "two hundred eleven trillion, one hundred twelve billion, one hundred thirty-two million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 544 640 680 1088 1280 1360 2176 2720 4352 5440 10880 21760 9701844307 19403688614 38807377228 48509221535 77614754456 97018443070 155229508912 164931353219 194036886140 310459017824 329862706438 388073772280 620918035648 659725412876 776147544560 824656766095 1241836071296 1319450825752 1552295089120 1649313532190 2483672142592 2638901651504 3104590178240 3298627064380 5277803303008 6209180356480 6597254128760 10555606606016 12418360712960 13194508257520 21111213212032 26389016515040 42222426424064 52778033030080 105556066060160 211112132120320