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112024203324 = 2231123927113103
BaseRepresentation
bin110100001010100101…
…0011011000000111100
3101201011011022011022120
41220111022123000330
53313411144001244
6123244015242540
711044031005605
oct1502512330074
9351134264276
10112024203324
1143566819020
1219864819450
13a743999957
1455c9d7cdac
152da9b8b819
hex1a1529b03c

112024203324 has 96 divisors (see below), whose sum is σ = 287424184320. Its totient is φ = 33677380800.

The previous prime is 112024203293. The next prime is 112024203329. The reversal of 112024203324 is 423302420211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 112024203294 and 112024203303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112024203329) 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, 8542957 + ... + 8556059.

It is an arithmetic number, because the mean of its divisors is an integer number (2994001920).

Almost surely, 2112024203324 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 112024203324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143712092160).

112024203324 is an abundant number, since it is smaller than the sum of its proper divisors (175399980996).

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

112024203324 is a wasteful number, since it uses less digits than its factorization.

112024203324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13631 (or 13629 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 112024203324 its reverse (423302420211), we get a palindrome (535326623535).

The spelling of 112024203324 in words is "one hundred twelve billion, twenty-four million, two hundred three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 239 271 478 542 717 813 956 1084 1434 1626 2629 2868 2981 3252 5258 5962 7887 8943 10516 11924 13103 15774 17886 26206 31548 35772 39309 52412 64769 78618 129538 144133 157236 194307 259076 288266 388614 432399 576532 712459 777228 864798 1424918 1729596 2137377 2849836 3131617 3550913 4274754 6263234 7101826 8549508 9394851 10652739 12526468 14203652 18789702 21305478 34447787 37579404 39060043 42610956 68895574 78120086 103343361 117180129 137791148 156240172 206686722 234360258 413373444 468720516 848668207 1697336414 2546004621 3394672828 5092009242 9335350277 10184018484 18670700554 28006050831 37341401108 56012101662 112024203324