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112002211112 = 231131439371019
BaseRepresentation
bin110100001001111011…
…0100001110100101000
3101201002121220211200012
41220103312201310220
53313340031223422
6123241512031052
711043343041431
oct1502366416450
9351077824605
10112002211112
1143555367a40
1219859392488
13a73c2697cc
1455c7096488
152da7c954e2
hex1a13da1d28

112002211112 has 128 divisors (see below), whose sum is σ = 242481254400. Its totient is φ = 48023539200.

The previous prime is 112002211091. The next prime is 112002211147. The reversal of 112002211112 is 211112200211.

112002211112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 109913339 + ... + 109914357.

It is an arithmetic number, because the mean of its divisors is an integer number (1894384800).

Almost surely, 2112002211112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112002211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121240627200).

112002211112 is an abundant number, since it is smaller than the sum of its proper divisors (130479043288).

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

112002211112 is a wasteful number, since it uses less digits than its factorization.

112002211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112002211112 its reverse (211112200211), we get a palindrome (323114411323).

The spelling of 112002211112 in words is "one hundred twelve billion, two million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 31 43 44 62 86 88 124 172 248 341 344 473 682 937 946 1019 1333 1364 1874 1892 2038 2666 2728 3748 3784 4076 5332 7496 8152 10307 10664 11209 14663 20614 22418 29047 29326 31589 40291 41228 43817 44836 58094 58652 63178 80582 82456 87634 89672 116188 117304 126356 161164 175268 232376 252712 319517 322328 347479 350536 443201 481987 639034 694958 886402 954803 963974 1249021 1278068 1358327 1389916 1772804 1909606 1927948 2498042 2556136 2716654 2779832 3545608 3819212 3855896 4996084 5433308 7638424 9992168 10502833 10866616 13739231 14941597 21005666 27478462 29598893 29883194 41056529 42011332 54956924 59197786 59766388 82113058 84022664 109913848 118395572 119532776 164226116 236791144 325587823 328452232 451621819 651175646 903243638 1272752399 1302351292 1806487276 2545504798 2604702584 3612974552 5091009596 10182019192 14000276389 28000552778 56001105556 112002211112