Search a number
-
+
112112002344 = 233471272113709
BaseRepresentation
bin110100001101001100…
…1010110010100101000
3101201101021111210221010
41220122121112110220
53314101133033334
6123300433143520
711046145203456
oct1503231262450
9351337453833
10112112002344
11436013367a1
121988a0baba0
13a758c2ab34
1455d78b59d6
152db27310e9
hex1a1a656528

112112002344 has 128 divisors (see below), whose sum is σ = 289942732800. Its totient is φ = 36105834240.

The previous prime is 112112002337. The next prime is 112112002363. The reversal of 112112002344 is 443200211211.

It is a super-2 number, since 2×1121120023442 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112112002344.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30225162 + ... + 30228870.

It is an arithmetic number, because the mean of its divisors is an integer number (2265177600).

Almost surely, 2112112002344 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 112112002344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144971366400).

112112002344 is an abundant number, since it is smaller than the sum of its proper divisors (177830730456).

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

112112002344 is a wasteful number, since it uses less digits than its factorization.

112112002344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4103 (or 4099 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 112112002344 its reverse (443200211211), we get a palindrome (555312213555).

The spelling of 112112002344 in words is "one hundred twelve billion, one hundred twelve million, two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 47 94 127 141 188 211 254 282 376 381 422 508 564 633 762 844 1016 1128 1266 1524 1688 2532 3048 3709 5064 5969 7418 9917 11127 11938 14836 17907 19834 22254 23876 26797 29672 29751 35814 39668 44508 47752 53594 59502 71628 79336 80391 89016 107188 119004 143256 160782 174323 214376 238008 321564 348646 471043 522969 643128 697292 782599 942086 1045938 1259459 1394584 1413129 1565198 1884172 2091876 2347797 2518918 2826258 3130396 3768344 3778377 4183752 4695594 5037836 5652516 6260792 7556754 9391188 10075672 11305032 15113508 18782376 22139021 30227016 36782153 44278042 66417063 73564306 88556084 99390073 110346459 132834126 147128612 177112168 198780146 220692918 265668252 294257224 298170219 397560292 441385836 531336504 596340438 795120584 882771672 1192680876 2385361752 4671333431 9342666862 14014000293 18685333724 28028000586 37370667448 56056001172 112112002344