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112102011212212 = 22723114574024211
BaseRepresentation
bin11001011111010011001000…
…100011101001000110110100
3112200220211212220111010211001
4121133103020203221012310
5104143134404332242322
61034230541503053044
732420050225153600
oct3137231043510664
9480824786433731
10112102011212212
11327a021792162a
12106a61548a1184
134a72235c16b58
141d97aa29c8500
15ce606d2a4827
hex65f4c88e91b4

112102011212212 has 72 divisors (see below), whose sum is σ = 229442475382848. Its totient is φ = 47784435350400.

The previous prime is 112102011212207. The next prime is 112102011212221. The reversal of 112102011212212 is 212212110201211.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 112102011212212.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 25844787 + ... + 29868997.

It is an arithmetic number, because the mean of its divisors is an integer number (3186701046984).

Almost surely, 2112102011212212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112102011212212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114721237691424).

112102011212212 is an abundant number, since it is smaller than the sum of its proper divisors (117340464170636).

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

112102011212212 is a wasteful number, since it uses less digits than its factorization.

112102011212212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4024997 (or 4024988 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 112102011212212 its reverse (212212110201211), we get a palindrome (324314121413423).

The spelling of 112102011212212 in words is "one hundred twelve trillion, one hundred two billion, eleven million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 49 98 196 311 457 622 914 1244 1828 2177 3199 4354 6398 8708 12796 15239 22393 30478 44786 60956 89572 142127 284254 568508 994889 1989778 3979556 4024211 6964223 8048422 13928446 16096844 27856892 28169477 56338954 112677908 197186339 394372678 788745356 1251529621 1839064427 2503059242 3678128854 5006118484 7356257708 8760707347 12873450989 17521414694 25746901978 35042829388 51493803956 61324951429 90114156923 122649902858 180228313846 245299805716 360456627692 571949036797 1143898073594 2287796147188 4003643257579 8007286515158 16014573030316 28025502803053 56051005606106 112102011212212