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112232200210020 = 223251170180860099
BaseRepresentation
bin11001100001001100011000…
…011011010000011001100100
3112201101021221000001110200200
4121201030120123100121210
5104202303021223210040
61034410432213110500
732432336355323142
oct3141143033203144
9481337830043620
10112232200210020
11328404551495a0
1210707428928430
134a815b2cc2bb7
141da00d3210592
15ce963c9ec630
hex6613186d0664

112232200210020 has 144 divisors (see below), whose sum is σ = 371916353390400. Its totient is φ = 27168992928000.

The previous prime is 112232200209937. The next prime is 112232200210021. The reversal of 112232200210020 is 20012002232211.

112232200210020 is a `hidden beast` number, since 1 + 1 + 2 + 232 + 200 + 210 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112232200209975 and 112232200210002.

It is not an unprimeable number, because it can be changed into a prime (112232200210021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39042070 + ... + 41818029.

It is an arithmetic number, because the mean of its divisors is an integer number (2582752454100).

Almost surely, 2112232200210020 is an apocalyptic number.

112232200210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112232200210020 is an abundant number, since it is smaller than the sum of its proper divisors (259684153180380).

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

112232200210020 is a wasteful number, since it uses less digits than its factorization.

112232200210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80860826 (or 80860821 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 112232200210020 its reverse (20012002232211), we get a palindrome (132244202442231).

The spelling of 112232200210020 in words is "one hundred twelve trillion, two hundred thirty-two billion, two hundred million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 701 990 1402 1980 2103 2804 3505 4206 6309 7010 7711 8412 10515 12618 14020 15422 21030 23133 25236 30844 31545 38555 42060 46266 63090 69399 77110 92532 115665 126180 138798 154220 231330 277596 346995 462660 693990 1387980 80860099 161720198 242580297 323440396 404300495 485160594 727740891 808600990 889461089 970321188 1212901485 1455481782 1617201980 1778922178 2425802970 2668383267 2910963564 3557844356 3638704455 4447305445 4851605940 5336766534 7277408910 8005149801 8894610890 10673533068 13341916335 14554817820 16010299602 17789221780 26683832670 32020599204 40025749005 53367665340 56682929399 80051498010 113365858798 160102996020 170048788197 226731717596 283414646995 340097576394 510146364591 566829293990 623512223389 680195152788 850243940985 1020292729182 1133658587980 1247024446778 1700487881970 1870536670167 2040585458364 2494048893556 2550731822955 3117561116945 3400975763940 3741073340334 5101463645910 5611610010501 6235122233890 7482146680668 9352683350835 10202927291820 11223220021002 12470244467780 18705366701670 22446440042004 28058050052505 37410733403340 56116100105010 112232200210020