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112113413334 = 23413119344623
BaseRepresentation
bin110100001101001111…
…0101110110011010110
3101201101101011111110000
41220122132232303112
53314102013211314
6123300523312130
711046163201236
oct1503236566326
9351341144400
10112113413334
114360210a8aa
121988a67b646
13a759303140
1455d7b61cc6
152db290e209
hex1a1a7aecd6

112113413334 has 80 divisors (see below), whose sum is σ = 270774326592. Its totient is φ = 34466746752.

The previous prime is 112113413311. The next prime is 112113413353. The reversal of 112113413334 is 433314311211.

112113413334 is a `hidden beast` number, since 1 + 1 + 211 + 3 + 413 + 3 + 34 = 666.

It is a super-3 number, since 3×1121134133343 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 112113413298 and 112113413307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2490147 + ... + 2534769.

Almost surely, 2112113413334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112113413334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135387163296).

112113413334 is an abundant number, since it is smaller than the sum of its proper divisors (158660913258).

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

112113413334 is a wasteful number, since it uses less digits than its factorization.

112113413334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45843 (or 45834 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 112113413334 its reverse (433314311211), we get a palindrome (545427724545).

The spelling of 112113413334 in words is "one hundred twelve billion, one hundred thirteen million, four hundred thirteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 1193 2106 2386 3579 7158 10737 15509 21474 31018 32211 44623 46527 64422 89246 93054 96633 133869 139581 193266 267738 279162 401607 418743 580099 803214 837486 1160198 1204821 1256229 1740297 2409642 2512458 3480594 3614463 5220891 7228926 10441782 15662673 31325346 46988019 53235239 93976038 106470478 159705717 319411434 479117151 692058107 958234302 1384116214 1437351453 2076174321 2874702906 4152348642 4312054359 6228522963 8624108718 12457045926 18685568889 37371137778 56056706667 112113413334