Search a number
-
+
110132244112212 = 22337347419820091
BaseRepresentation
bin11001000010101000101001…
…010010011110001101010100
3112102221112120110011201222000
4121002220221102132031110
5103413401313443042322
61030122015434035300
732124535451106240
oct3102505122361524
9472845513151860
10110132244112212
1132100905729013
1210428449878b30
13495b570080b2a
141d2a60148b420
15caebd45a83ac
hex642a2949e354

110132244112212 has 96 divisors (see below), whose sum is σ = 327258158115840. Its totient is φ = 31375674246240.

The previous prime is 110132244112211. The next prime is 110132244112259. The reversal of 110132244112212 is 212211442231011.

110132244112212 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 3 + 2 + 2 + 441 + 1 + 2 + 212 = 666.

It is a super-2 number, since 2×1101322441122122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110132244112211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209647714 + ... + 210172377.

It is an arithmetic number, because the mean of its divisors is an integer number (3408939147040).

Almost surely, 2110132244112212 is an apocalyptic number.

110132244112212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110132244112212 is an abundant number, since it is smaller than the sum of its proper divisors (217125914003628).

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

110132244112212 is a wasteful number, since it uses less digits than its factorization.

110132244112212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419820458 (or 419820450 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 110132244112212 its reverse (212211442231011), we get a palindrome (322343686343223).

The spelling of 110132244112212 in words is "one hundred ten trillion, one hundred thirty-two billion, two hundred forty-four million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 347 378 694 756 1041 1388 2082 2429 3123 4164 4858 6246 7287 9369 9716 12492 14574 18738 21861 29148 37476 43722 65583 87444 131166 262332 419820091 839640182 1259460273 1679280364 2518920546 2938740637 3778380819 5037841092 5877481274 7556761638 8816221911 11335142457 11754962548 15113523276 17632443822 22670284914 26448665733 35264887644 45340569828 52897331466 79345997199 105794662932 145677571577 158691994398 291355143154 317383988796 437032714731 582710286308 874065429462 1019743001039 1311098144193 1748130858924 2039486002078 2622196288386 3059229003117 3933294432579 4078972004156 5244392576772 6118458006234 7866588865158 9177687009351 12236916012468 15733177730316 18355374018702 27533061028053 36710748037404 55066122056106 110132244112212