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112102202211021 = 33111993189387101
BaseRepresentation
bin11001011111010011010011…
…111100001111101011001101
3112200220212101012212212221000
4121133103103330033223031
5104143140302231223041
61034231012444530513
732420055034501461
oct3137232374175315
9480825335785830
10112102202211021
11327a0305716890
12106a61a8850a39
134a7226666c0b9
141d97ac01064a1
15ce607ee31bb6
hex65f4d3f0facd

112102202211021 has 32 divisors (see below), whose sum is σ = 181266183066240. Its totient is φ = 67906638576000.

The previous prime is 112102202210959. The next prime is 112102202211023. The reversal of 112102202211021 is 120112202201211.

112102202211021 is a `hidden beast` number, since 1 + 1 + 210 + 220 + 2 + 211 + 0 + 21 = 666.

It is not a de Polignac number, because 112102202211021 - 234 = 112085022341837 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 112102202210985 and 112102202211003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112102202211023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94101630 + ... + 95285471.

It is an arithmetic number, because the mean of its divisors is an integer number (5664568220820).

Almost surely, 2112102202211021 is an apocalyptic number.

112102202211021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112102202211021 is a deficient number, since it is larger than the sum of its proper divisors (69163980855219).

112102202211021 is a wasteful number, since it uses less digits than its factorization.

112102202211021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189389114 (or 189389108 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112102202211021 its reverse (120112202201211), we get a palindrome (232214404412232).

The spelling of 112102202211021 in words is "one hundred twelve trillion, one hundred two billion, two hundred two million, two hundred eleven thousand, twenty-one".

Divisors: 1 3 9 11 27 33 99 297 1993 5979 17937 21923 53811 65769 197307 591921 189387101 568161303 1704483909 2083258111 5113451727 6249774333 18749322999 56247968997 377448492293 1132345476879 3397036430637 4151933415223 10191109291911 12455800245669 37367400737007 112102202211021