Search a number
-
+
232201123020 = 2232510112772339
BaseRepresentation
bin1101100001000001000…
…0111111010011001100
3211012100111101020000100
43120100100333103030
512301021441414040
6254401031531100
722530105660066
oct3302020772314
9735314336010
10232201123020
118a526531569
1239003829a90
1318b86719b19
14b34a9ba736
15609043cb30
hex361043f4cc

232201123020 has 72 divisors (see below), whose sum is σ = 711317159280. Its totient is φ = 61307222400.

The previous prime is 232201123009. The next prime is 232201123043. The reversal of 232201123020 is 20321102232.

232201123020 is a `hidden beast` number, since 232 + 20 + 112 + 302 + 0 = 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 = 232201122984 and 232201123002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6367990 + ... + 6404349.

It is an arithmetic number, because the mean of its divisors is an integer number (9879404990).

Almost surely, 2232201123020 is an apocalyptic number.

232201123020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232201123020 is an abundant number, since it is smaller than the sum of its proper divisors (479116036260).

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

232201123020 is a wasteful number, since it uses less digits than its factorization.

232201123020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12772455 (or 12772450 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 232201123020 its reverse (20321102232), we get a palindrome (252522225252).

The spelling of 232201123020 in words is "two hundred thirty-two billion, two hundred one million, one hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 18180 12772339 25544678 38317017 51089356 63861695 76634034 114951051 127723390 153268068 191585085 229902102 255446780 383170170 459804204 574755255 766340340 1149510510 1290006239 2299021020 2580012478 3870018717 5160024956 6450031195 7740037434 11610056151 12900062390 15480074868 19350093585 23220112302 25800124780 38700187170 46440224604 58050280755 77400374340 116100561510 232201123020