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112131242432 = 26114118232131
BaseRepresentation
bin110100001101110001…
…0101111100111000000
3101201102121201022100222
41220123202233213000
53314121044224212
6123302401402212
711046500556146
oct1503342574700
9351377638328
10112131242432
11436111880a0
1219894639368
13a75cc063c1
1455da283596
152db4281c72
hex1a1b8af9c0

112131242432 has 112 divisors (see below), whose sum is σ = 248912262144. Its totient is φ = 49675008000.

The previous prime is 112131242413. The next prime is 112131242471. The reversal of 112131242432 is 234242131211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52618007 + ... + 52620137.

It is an arithmetic number, because the mean of its divisors is an integer number (2222430912).

Almost surely, 2112131242432 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 112131242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124456131072).

112131242432 is an abundant number, since it is smaller than the sum of its proper divisors (136781019712).

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

112131242432 is a wasteful number, since it uses less digits than its factorization.

112131242432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4018 (or 4008 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

Adding to 112131242432 its reverse (234242131211), we get a palindrome (346373373643).

The spelling of 112131242432 in words is "one hundred twelve billion, one hundred thirty-one million, two hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 164 176 328 352 451 656 704 902 1312 1804 1823 2131 2624 3608 3646 4262 7216 7292 8524 14432 14584 17048 20053 23441 28864 29168 34096 40106 46882 58336 68192 74743 80212 87371 93764 116672 136384 149486 160424 174742 187528 298972 320848 349484 375056 597944 641696 698968 750112 822173 961081 1195888 1283392 1397936 1500224 1644346 1922162 2391776 2795872 3288692 3844324 3884813 4783552 5591744 6577384 7688648 7769626 13154768 15377296 15539252 26309536 30754592 31078504 42732943 52619072 61509184 62157008 85465886 124314016 159277333 170931772 248628032 318554666 341863544 637109332 683727088 1274218664 1367454176 1752050663 2548437328 2734908352 3504101326 5096874656 7008202652 10193749312 14016405304 28032810608 56065621216 112131242432