Search a number
-
+
12220112033010 = 2325722771000461
BaseRepresentation
bin1011000111010011011101…
…1011111101010011110010
31121021020020121200220221100
42301310313123331103302
53100203242140024020
641553501510505230
72400605524303200
oct261646733752362
947236217626840
1012220112033010
11399157a735092
12145440a965216
136a84756811bb
14303656bca070
15162d16d90a90
hexb1d376fd4f2

12220112033010 has 72 divisors (see below), whose sum is σ = 36959604162156. Its totient is φ = 2793168463680.

The previous prime is 12220112032949. The next prime is 12220112033011. The reversal of 12220112033010 is 1033021102221.

12220112033010 is a `hidden beast` number, since 1 + 2 + 2 + 201 + 120 + 330 + 10 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10907490417201 + 1312621615809 = 3302649^2 + 1145697^2 .

It is a super-2 number, since 2×122201120330102 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12220112033011) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1385495821 + ... + 1385504640.

Almost surely, 212220112033010 is an apocalyptic number.

12220112033010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12220112033010 is an abundant number, since it is smaller than the sum of its proper divisors (24739492129146).

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

12220112033010 is a wasteful number, since it uses less digits than its factorization.

12220112033010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771000488 (or 2771000478 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12220112033010 its reverse (1033021102221), we get a palindrome (13253133135231).

The spelling of 12220112033010 in words is "twelve trillion, two hundred twenty billion, one hundred twelve million, thirty-three thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 2771000461 5542000922 8313001383 13855002305 16626002766 19397003227 24939004149 27710004610 38794006454 41565006915 49878008298 58191009681 83130013830 96985016135 116382019362 124695020745 135779022589 174573029043 193970032270 249390041490 271558045178 290955048405 349146058086 407337067767 581910096810 678895112945 814674135534 872865145215 1222011203301 1357790225890 1745730290430 2036685338835 2444022406602 4073370677670 6110056016505 12220112033010