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112024443432 = 233115325731153
BaseRepresentation
bin110100001010100101…
…1010101101000101000
3101201011011202100200110
41220111023111220220
53313411224142212
6123244024334320
711044033025616
oct1502513255050
9351134670613
10112024443432
1143566972460
12198649143a0
13a743a52025
1455ca0026b6
152da9bd7a3c
hex1a152d5a28

112024443432 has 128 divisors (see below), whose sum is σ = 312507020160. Its totient is φ = 33175633920.

The previous prime is 112024443407. The next prime is 112024443481. The reversal of 112024443432 is 234344420211.

It is a self number, because there is not a number n which added to its sum of digits gives 112024443432.

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, 3580368 + ... + 3611520.

It is an arithmetic number, because the mean of its divisors is an integer number (2441461095).

Almost surely, 2112024443432 is an apocalyptic number.

112024443432 is a gapful number since it is divisible by the number (12) 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 112024443432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156253510080).

112024443432 is an abundant number, since it is smaller than the sum of its proper divisors (200482576728).

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

112024443432 is a wasteful number, since it uses less digits than its factorization.

112024443432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31483 (or 31479 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 112024443432 its reverse (234344420211), we get a palindrome (346368863643).

The spelling of 112024443432 in words is "one hundred twelve billion, twenty-four million, four hundred forty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 53 66 88 106 132 159 212 257 264 318 424 514 583 636 771 1028 1166 1272 1542 1749 2056 2332 2827 3084 3498 4664 5654 6168 6996 8481 11308 13621 13992 16962 22616 27242 31153 33924 40863 54484 62306 67848 81726 93459 108968 124612 149831 163452 186918 249224 299662 326904 342683 373836 449493 599324 685366 747672 898986 1028049 1198648 1370732 1651109 1797972 2056098 2741464 3302218 3595944 4112196 4953327 6604436 8006321 8224392 9906654 13208872 16012642 18162199 19813308 24018963 32025284 36324398 39626616 48037926 54486597 64050568 72648796 88069531 96075852 108973194 145297592 176139062 192151704 217946388 264208593 352278124 424335013 435892776 528417186 704556248 848670026 1056834372 1273005039 1697340052 2113668744 2546010078 3394680104 4667685143 5092020156 9335370286 10184040312 14003055429 18670740572 28006110858 37341481144 56012221716 112024443432