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102112112110 = 251719472412791
BaseRepresentation
bin101111100011001011…
…0110010110111101110
3100202120100221202101011
41133012112302313232
53133111200041420
6114524252535434
710243301426521
oct1370626626756
9322510852334
10102112112110
113a33a6971a8
121795918157a
13982427b618
144d29780bb8
1529c989595a
hex17c65b2dee

102112112110 has 128 divisors (see below), whose sum is σ = 210158530560. Its totient is φ = 35483443200.

The previous prime is 102112112033. The next prime is 102112112153. The reversal of 102112112110 is 11211211201.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 36584815 + ... + 36587605.

It is an arithmetic number, because the mean of its divisors is an integer number (1641863520).

Almost surely, 2102112112110 is an apocalyptic number.

102112112110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102112112110 is an abundant number, since it is smaller than the sum of its proper divisors (108046418450).

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

102112112110 is a wasteful number, since it uses less digits than its factorization.

102112112110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3122.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102112112110 its reverse (11211211201), we get a palindrome (113323323311).

Subtracting from 102112112110 its reverse (11211211201), we obtain a palindrome (90900900909).

The spelling of 102112112110 in words is "one hundred two billion, one hundred twelve million, one hundred twelve thousand, one hundred ten".

Divisors: 1 2 5 10 17 19 34 38 47 85 94 95 170 190 235 241 323 470 482 646 799 893 1205 1598 1615 1786 2410 2791 3230 3995 4097 4465 4579 5582 7990 8194 8930 9158 11327 13955 15181 20485 22654 22895 27910 30362 40970 45790 47447 53029 56635 75905 77843 94894 106058 113270 131177 151810 155686 192559 215213 237235 262354 265145 385118 389215 430426 474470 530290 655885 672631 778430 901493 962795 1076065 1311770 1345262 1802986 1925590 2152130 2230009 2492363 3363155 3658621 4460018 4507465 4984726 6726310 7317242 9014930 11150045 11434727 12461815 12779989 18293105 22300090 22869454 24923630 25559978 31613657 36586210 42370171 57173635 63227314 63899945 84740342 114347270 127799890 158068285 211850855 217259813 316136570 423701710 434519626 537432169 600659483 1074864338 1086299065 1201318966 2172598130 2687160845 3003297415 5374321690 6006594830 10211211211 20422422422 51056056055 102112112110