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112406233260244 = 227113145132608631
BaseRepresentation
bin11001100011101110011101…
…100110101010000011010100
3112201222221010122221102122111
4121203232131212222003110
5104213130431203311434
61035022413301240404
732451040150666210
oct3143563546520324
9481887118842574
10112406233260244
11328a8241284020
12107350b8103104
134a94b29670b21
141da86c2761940
15cede2644a964
hex663b9d9aa0d4

112406233260244 has 96 divisors (see below), whose sum is σ = 253217445691392. Its totient is φ = 42372498816000.

The previous prime is 112406233260241. The next prime is 112406233260257. The reversal of 112406233260244 is 442062332604211.

It is a super-2 number, since 2×1124062332602442 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112406233260197 and 112406233260206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112406233260241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41785809 + ... + 44394439.

It is an arithmetic number, because the mean of its divisors is an integer number (2637681725952).

Almost surely, 2112406233260244 is an apocalyptic number.

112406233260244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112406233260244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126608722845696).

112406233260244 is an abundant number, since it is smaller than the sum of its proper divisors (140811212431148).

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

112406233260244 is a wasteful number, since it uses less digits than its factorization.

112406233260244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2613197 (or 2613195 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

Adding to 112406233260244 its reverse (442062332604211), we get a palindrome (554468565864455).

The spelling of 112406233260244 in words is "one hundred twelve trillion, four hundred six billion, two hundred thirty-three million, two hundred sixty thousand, two hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 77 124 154 217 308 341 434 682 868 1364 2387 4513 4774 9026 9548 18052 31591 49643 63182 99286 126364 139903 198572 279806 347501 559612 695002 979321 1390004 1538933 1958642 2608631 3077866 3917284 5217262 6155732 10434524 10772531 18260417 21545062 28694941 36520834 43090124 57389882 73041668 80867561 114779764 161735122 200864587 323470244 401729174 566072927 803458348 889543171 1132145854 1779086342 2264291708 3558172684 6226802197 11772751703 12453604394 23545503406 24907208788 47091006812 82409261921 129500268733 164818523842 259000537466 329637047684 364955302793 518001074932 729910605586 906501881131 1459821211172 1813003762262 2554687119551 3626007524524 4014508330723 5109374239102 8029016661446 10218748478204 16058033322892 28101558315061 56203116630122 112406233260244