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102221113013112 = 23389277172766521
BaseRepresentation
bin10111001111100000110101…
…001000010011001101111000
3111101221020120010022020221210
4113033200311020103031320
5101344242314412404422
61001223421523003120
730350142321223362
oct2717406510231570
9441836503266853
10102221113013112
112a630804440425
12b56b177b094a0
134506542b5cc42
141b357577d3d32
15bc401454410c
hex5cf835213378

102221113013112 has 64 divisors (see below), whose sum is σ = 259357102826400. Its totient is φ = 33569225902080.

The previous prime is 102221113013111. The next prime is 102221113013147. The reversal of 102221113013112 is 211310311122201.

102221113013112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221113013111) 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, 85791589 + ... + 86974932.

Almost surely, 2102221113013112 is an apocalyptic number.

102221113013112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102221113013112 is an abundant number, since it is smaller than the sum of its proper divisors (157135989813288).

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

102221113013112 is a wasteful number, since it uses less digits than its factorization.

102221113013112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172766896 (or 172766892 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 102221113013112 its reverse (211310311122201), we get a palindrome (313531424135313).

The spelling of 102221113013112 in words is "one hundred two trillion, two hundred twenty-one billion, one hundred thirteen million, thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 89 178 267 277 356 534 554 712 831 1068 1108 1662 2136 2216 3324 6648 24653 49306 73959 98612 147918 197224 295836 591672 172766521 345533042 518299563 691066084 1036599126 1382132168 2073198252 4146396504 15376220369 30752440738 46128661107 47856326317 61504881476 92257322214 95712652634 123009762952 143568978951 184514644428 191425305268 287137957902 369029288856 382850610536 574275915804 1148551831608 4259213042213 8518426084426 12777639126639 17036852168852 25555278253278 34073704337704 51110556506556 102221113013112