Search a number
-
+
112361233320 = 2334574954199
BaseRepresentation
bin110100010100101000…
…0000101101110101000
3101202000122111001120000
41220221100011232220
53320103433431240
6123341255103000
711055262503420
oct1505120055650
9352018431500
10112361233320
1143719a94706
1219939671a60
13a79876149b
14561ca31480
152dc9562430
hex1a29405ba8

112361233320 has 160 divisors (see below), whose sum is σ = 431609904000. Its totient is φ = 25682562432.

The previous prime is 112361233307. The next prime is 112361233331. The reversal of 112361233320 is 23332163211.

112361233320 is a `hidden beast` number, since 1 + 1 + 23 + 612 + 3 + 3 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2454420 + ... + 2499779.

It is an arithmetic number, because the mean of its divisors is an integer number (2697561900).

Almost surely, 2112361233320 is an apocalyptic number.

112361233320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112361233320 is an abundant number, since it is smaller than the sum of its proper divisors (319248670680).

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

112361233320 is a wasteful number, since it uses less digits than its factorization.

112361233320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4954229 (or 4954216 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 112361233320 its reverse (23332163211), we get a palindrome (135693396531).

The spelling of 112361233320 in words is "one hundred twelve billion, three hundred sixty-one million, two hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 5670 7560 11340 22680 4954199 9908398 14862597 19816796 24770995 29725194 34679393 39633592 44587791 49541990 59450388 69358786 74312985 89175582 99083980 104038179 118900776 133763373 138717572 148625970 173396965 178351164 198167960 208076358 222938955 267526746 277435144 297251940 312114537 346793930 356702328 401290119 416152716 445877910 520190895 535053492 594503880 624229074 668816865 693587860 802580238 832305432 891755820 936343611 1040381790 1070106984 1248458148 1337633730 1387175720 1560572685 1605160476 1783511640 1872687222 2006450595 2080763580 2496916296 2675267460 2809030833 3121145370 3210320952 3745374444 4012901190 4161527160 4681718055 5350534920 5618061666 6242290740 7490748888 8025802380 9363436110 11236123332 12484581480 14045154165 16051604760 18726872220 22472246664 28090308330 37453744440 56180616660 112361233320