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112420132240 = 245134310923063
BaseRepresentation
bin110100010110011000…
…0110001010110010000
3101202011202022102200111
41220230300301112100
53320214023212430
6123351201331104
711056606233403
oct1505460612620
9352152272614
10112420132240
114374a2632a9
1219955336a94
13a7a7a14210
1456267a3d3a
152dce7e8c2a
hex1a2cc31590

112420132240 has 160 divisors (see below), whose sum is σ = 290683895040. Its totient is φ = 40169945088.

The previous prime is 112420132219. The next prime is 112420132267. The reversal of 112420132240 is 42231024211.

112420132240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1124201322402 (a number of 23 digits) contains 22 as substring.

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, 4862949 + ... + 4886011.

It is an arithmetic number, because the mean of its divisors is an integer number (1816774344).

Almost surely, 2112420132240 is an apocalyptic number.

112420132240 is a gapful number since it is divisible by the number (10) 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 112420132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145341947520).

112420132240 is an abundant number, since it is smaller than the sum of its proper divisors (178263762800).

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

112420132240 is a wasteful number, since it uses less digits than its factorization.

112420132240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23241 (or 23235 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 112420132240 its reverse (42231024211), we get a palindrome (154651156451).

The spelling of 112420132240 in words is "one hundred twelve billion, four hundred twenty million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 43 52 65 80 86 104 109 130 172 208 215 218 260 344 430 436 520 545 559 688 860 872 1040 1090 1118 1417 1720 1744 2180 2236 2795 2834 3440 4360 4472 4687 5590 5668 7085 8720 8944 9374 11180 11336 14170 18748 22360 22672 23063 23435 28340 37496 44720 46126 46870 56680 60931 74992 92252 93740 113360 115315 121862 184504 187480 230630 243724 299819 304655 369008 374960 461260 487448 599638 609310 922520 974896 991709 1199276 1218620 1499095 1845040 1983418 2398552 2437240 2513867 2998190 3966836 4797104 4874480 4958545 5027734 5996380 7933672 9917090 10055468 11992760 12569335 12892217 15867344 19834180 20110936 23985520 25138670 25784434 32680271 39668360 40221872 50277340 51568868 64461085 65360542 79336720 100554680 103137736 108096281 128922170 130721084 163401355 201109360 206275472 216192562 257844340 261442168 326802710 432385124 515688680 522884336 540481405 653605420 864770248 1031377360 1080962810 1307210840 1405251653 1729540496 2161925620 2614421680 2810503306 4323851240 5621006612 7026258265 8647702480 11242013224 14052516530 22484026448 28105033060 56210066120 112420132240