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112003122 = 23721159587
BaseRepresentation
bin1101010110100…
…00100000110010
321210202100101210
412223100200302
5212133044442
615040340550
72530003500
oct653204062
9253670353
10112003122
115824a670
1231614756
131a28704a
1410c37670
159c7619c
hex6ad0832

112003122 has 96 divisors (see below), whose sum is σ = 289578240. Its totient is φ = 28549920.

The previous prime is 112003109. The next prime is 112003147. The reversal of 112003122 is 221300211.

It is a junction number, because it is equal to n+sod(n) for n = 112003098 and 112003107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190513 + ... + 191099.

It is an arithmetic number, because the mean of its divisors is an integer number (3016440).

Almost surely, 2112003122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112003122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144789120).

112003122 is an abundant number, since it is smaller than the sum of its proper divisors (177575118).

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

112003122 is a wasteful number, since it uses less digits than its factorization.

112003122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 112003122 is about 10583.1527438661. The cubic root of 112003122 is about 482.0329316411.

Adding to 112003122 its reverse (221300211), we get a palindrome (333303333).

The spelling of 112003122 in words is "one hundred twelve million, three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 59 66 77 98 118 147 154 177 231 294 354 413 462 539 587 649 826 1078 1174 1239 1298 1617 1761 1947 2478 2891 3234 3522 3894 4109 4543 5782 6457 8218 8673 9086 12327 12914 13629 17346 19371 24654 27258 28763 31801 34633 38742 45199 57526 63602 69266 86289 90398 95403 103899 135597 172578 190806 207798 242431 271194 316393 380963 484862 632786 727293 761926 949179 1142889 1454586 1697017 1898358 2285778 2666741 3394034 5091051 5333482 8000223 10182102 16000446 18667187 37334374 56001561 112003122