Search a number
-
+
112312213520 = 245131031099619
BaseRepresentation
bin110100010011001010…
…1000110000000010000
3101201220020020121000212
41220212111012000100
53320003411313040
6123332344303252
711054126030513
oct1504625060020
9351806217025
10112312213520
11436a4353381
1219925171b28
13a78b55a2a0
145616310d7a
152dc50ccd65
hex1a26546010

112312213520 has 160 divisors (see below), whose sum is σ = 286577491200. Its totient is φ = 40685524992.

The previous prime is 112312213513. The next prime is 112312213567. The reversal of 112312213520 is 25312213211.

It is a super-2 number, since 2×1123122135202 (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, 11671271 + ... + 11680889.

It is an arithmetic number, because the mean of its divisors is an integer number (1791109320).

Almost surely, 2112312213520 is an apocalyptic number.

112312213520 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 112312213520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143288745600).

112312213520 is an abundant number, since it is smaller than the sum of its proper divisors (174265277680).

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

112312213520 is a wasteful number, since it uses less digits than its factorization.

112312213520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9857 (or 9851 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 112312213520 its reverse (25312213211), we get a palindrome (137624426731).

The spelling of 112312213520 in words is "one hundred twelve billion, three hundred twelve million, two hundred thirteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 103 104 109 130 206 208 218 260 412 436 515 520 545 824 872 1030 1040 1090 1339 1417 1648 1744 2060 2180 2678 2834 4120 4360 5356 5668 6695 7085 8240 8720 9619 10712 11227 11336 13390 14170 19238 21424 22454 22672 26780 28340 38476 44908 48095 53560 56135 56680 76952 89816 96190 107120 112270 113360 125047 145951 153904 179632 192380 224540 250094 291902 384760 449080 500188 583804 625235 729755 769520 898160 990757 1000376 1048471 1167608 1250470 1459510 1981514 2000752 2096942 2335216 2500940 2919020 3963028 4193884 4953785 5001880 5242355 5838040 7926056 8387768 9907570 10003760 10484710 11676080 12879841 13630123 15852112 16775536 19815140 20969420 25759682 27260246 39630280 41938840 51519364 54520492 64399205 68150615 79260560 83877680 103038728 107992513 109040984 128798410 136301230 206077456 215985026 218081968 257596820 272602460 431970052 515193640 539962565 545204920 863940104 1030387280 1079925130 1090409840 1403902669 1727880208 2159850260 2807805338 4319700520 5615610676 7019513345 8639401040 11231221352 14039026690 22462442704 28078053380 56156106760 112312213520