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110100221210 = 25721072578171
BaseRepresentation
bin110011010001001111…
…1000000110100011010
3101112012001222202000202
41212202133000310122
53300441124034320
6122325045502202
710645246303400
oct1464237006432
9345161882022
10110100221210
1142769782861
1219408411962
13a4c81ba2b5
145486631470
152ce5ce2b75
hex19a27c0d1a

110100221210 has 96 divisors (see below), whose sum is σ = 233624927808. Its totient is φ = 37245788160.

The previous prime is 110100221201. The next prime is 110100221213. The reversal of 110100221210 is 12122001011.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 110100221191 and 110100221200.

It is not an unprimeable number, because it can be changed into a prime (110100221213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13470425 + ... + 13478595.

It is an arithmetic number, because the mean of its divisors is an integer number (2433592998).

Almost surely, 2110100221210 is an apocalyptic number.

110100221210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110100221210 is an abundant number, since it is smaller than the sum of its proper divisors (123524706598).

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

110100221210 is a wasteful number, since it uses less digits than its factorization.

110100221210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8556 (or 8549 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 110100221210 its reverse (12122001011), we get a palindrome (122222222221).

The spelling of 110100221210 in words is "one hundred ten billion, one hundred million, two hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 107 214 245 257 490 514 535 749 1070 1285 1498 1799 2570 3598 3745 5243 7490 8171 8995 10486 12593 16342 17990 25186 26215 27499 40855 52430 54998 57197 62965 81710 114394 125930 137495 192493 274990 285985 384986 400379 571970 800758 874297 962465 1347451 1748594 1924930 2001895 2099947 2694902 4003790 4199894 4371485 6120079 6737255 8742970 10499735 12240158 13474510 14699629 20999470 29399258 30600395 42840553 61200790 73498145 85681106 102897403 146996290 205794806 214202765 224694329 428405530 449388658 514487015 1028974030 1123471645 1572860303 2246943290 3145720606 7864301515 11010022121 15728603030 22020044242 55050110605 110100221210