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110112221112 = 23337124000249
BaseRepresentation
bin110011010001100110…
…0110010011110111000
3101112012220120101210120
41212203030302132320
53301002212033422
6122330155013240
710645453302465
oct1464314623670
9345186511716
10110112221112
1142775529533
121941043a220
13a4ca82c22a
14548807666c
152ce6db345c
hex19a33327b8

110112221112 has 32 divisors (see below), whose sum is σ = 282720570000. Its totient is φ = 35712071424.

The previous prime is 110112221047. The next prime is 110112221113. The reversal of 110112221112 is 211122211011.

It is a happy number.

It is a super-3 number, since 3×1101122211123 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110112221091 and 110112221100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110112221113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61999237 + ... + 62001012.

Almost surely, 2110112221112 is an apocalyptic number.

110112221112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110112221112 is an abundant number, since it is smaller than the sum of its proper divisors (172608348888).

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

110112221112 is a wasteful number, since it uses less digits than its factorization.

110112221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124000295 (or 124000291 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 110112221112 its reverse (211122211011), we get a palindrome (321234432123).

The spelling of 110112221112 in words is "one hundred ten billion, one hundred twelve million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 124000249 248000498 372000747 496000996 744001494 992001992 1488002988 2976005976 4588009213 9176018426 13764027639 18352036852 27528055278 36704073704 55056110556 110112221112