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112103312211 = 3211171393131531
BaseRepresentation
bin110100001100111100…
…0001100101101010011
3101201100200011022022100
41220121320030231103
53314041421442321
6123255523011443
711046011301012
oct1503170145523
9351320138270
10112103312211
11435a7440770
1219887209b83
13a7571a7547
1455d6692a79
152db1ab6326
hex1a19e0cb53

112103312211 has 96 divisors (see below), whose sum is σ = 189109589760. Its totient is φ = 63240652800.

The previous prime is 112103312197. The next prime is 112103312263. The reversal of 112103312211 is 112213301211.

112103312211 is a `hidden beast` number, since 1 + 121 + 0 + 331 + 2 + 211 = 666.

It is not a de Polignac number, because 112103312211 - 29 = 112103311699 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112103312611) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73221516 + ... + 73223046.

It is an arithmetic number, because the mean of its divisors is an integer number (1969891560).

Almost surely, 2112103312211 is an apocalyptic number.

112103312211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112103312211 is a deficient number, since it is larger than the sum of its proper divisors (77006277549).

112103312211 is a wasteful number, since it uses less digits than its factorization.

112103312211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 112103312211 its reverse (112213301211), we get a palindrome (224316613422).

The spelling of 112103312211 in words is "one hundred twelve billion, one hundred three million, three hundred twelve thousand, two hundred eleven".

Divisors: 1 3 9 11 17 33 51 99 139 153 187 313 417 561 939 1251 1529 1531 1683 2363 2817 3443 4587 4593 5321 7089 10329 13761 13779 15963 16841 21267 25993 26027 30987 43507 47889 50523 58531 77979 78081 130521 151569 175593 212809 233937 234243 286297 391563 478577 479203 526779 638427 739619 858891 1435731 1437609 1915281 2218857 2340899 2576673 3617753 4307193 4312827 5271233 6656571 7022697 8135809 8146451 10853259 15813699 21068091 24407427 24439353 32559777 39795283 47441097 66609217 73222281 73318059 89610961 119385849 199827651 268832883 358157547 599482953 732701387 806498649 1132356689 2198104161 3397070067 6594312483 10191210201 12455923579 37367770737 112103312211