Search a number
-
+
120232202220 = 2232513355914437
BaseRepresentation
bin110111111111001100…
…1011100111111101100
3102111100012002201001200
41233332121130333230
53432213420432340
6131122305205500
711454315566544
oct1577631347754
9374305081050
10120232202220
1146a98a42089
121b375630890
13b451337b30
145b6810c324
1531da571330
hex1bfe65cfec

120232202220 has 144 divisors (see below), whose sum is σ = 392896096320. Its totient is φ = 29585253888.

The previous prime is 120232202191. The next prime is 120232202221. The reversal of 120232202220 is 22202232021.

120232202220 is a `hidden beast` number, since 12 + 0 + 232 + 202 + 220 = 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 = 120232202193 and 120232202202.

It is not an unprimeable number, because it can be changed into a prime (120232202221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8320842 + ... + 8335278.

Almost surely, 2120232202220 is an apocalyptic number.

120232202220 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 120232202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196448048160).

120232202220 is an abundant number, since it is smaller than the sum of its proper divisors (272663894100).

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

120232202220 is a wasteful number, since it uses less digits than its factorization.

120232202220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18024 (or 18019 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 120232202220 its reverse (22202232021), we get a palindrome (142434434241).

The spelling of 120232202220 in words is "one hundred twenty billion, two hundred thirty-two million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 3559 7118 10677 14236 14437 17795 21354 28874 32031 35590 42708 43311 46267 53385 57748 64062 71180 72185 86622 92534 106770 128124 129933 138801 144370 160155 173244 185068 187681 213540 216555 231335 259866 277602 288740 320310 375362 416403 433110 462670 519732 555204 563043 640620 649665 694005 750724 832806 866220 925340 938405 1126086 1299330 1388010 1665612 1689129 1876810 2082015 2252172 2598660 2776020 2815215 3378258 3753620 4164030 5630430 6756516 8328060 8445645 11260860 16891290 33782580 51381283 102762566 154143849 205525132 256906415 308287698 462431547 513812830 616575396 667956679 770719245 924863094 1027625660 1335913358 1541438490 1849726188 2003870037 2312157735 2671826716 3082876980 3339783395 4007740074 4624315470 6011610111 6679566790 8015480148 9248630940 10019350185 12023220222 13359133580 20038700370 24046440444 30058050555 40077400740 60116101110 120232202220