Search a number
-
+
12011133110220 = 2233522242839093
BaseRepresentation
bin1010111011001000111101…
…0100101000011111001100
31120112020211111222200221000
42232302033110220133030
53033242300034011340
641313501031140300
72346530034621546
oct256621724503714
946466744880830
1012011133110220
113910990569342
12141ba08214690
1369185008157a
142d74b041c696
1515c685504d30
hexaec8f5287cc

12011133110220 has 48 divisors (see below), whose sum is σ = 37367969677920. Its totient is φ = 3202968829248.

The previous prime is 12011133110189. The next prime is 12011133110227. The reversal of 12011133110220 is 2201133111021.

12011133110220 is a `hidden beast` number, since 1 + 2 + 0 + 111 + 331 + 1 + 0 + 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 = 12011133110193 and 12011133110202.

It is not an unprimeable number, because it can be changed into a prime (12011133110227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11121419007 + ... + 11121420086.

It is an arithmetic number, because the mean of its divisors is an integer number (778499368290).

Almost surely, 212011133110220 is an apocalyptic number.

12011133110220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011133110220 is an abundant number, since it is smaller than the sum of its proper divisors (25356836567700).

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

12011133110220 is a wasteful number, since it uses less digits than its factorization.

12011133110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22242839111 (or 22242839103 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12011133110220 its reverse (2201133111021), we get a palindrome (14212266221241).

The spelling of 12011133110220 in words is "twelve trillion, eleven billion, one hundred thirty-three million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 22242839093 44485678186 66728517279 88971356372 111214195465 133457034558 200185551837 222428390930 266914069116 333642586395 400371103674 444856781860 600556655511 667285172790 800742207348 1000927759185 1201113311022 1334570345580 2001855518370 2402226622044 3002783277555 4003711036740 6005566555110 12011133110220