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132220110312 = 23326130104761
BaseRepresentation
bin111101100100011101…
…1101100010111101000
3110122021122110112102200
41323020323230113220
54131241322012222
6140424023500200
712360352252113
oct1731073542750
9418248415380
10132220110312
115108a894944
12217602b7660
13c611b27884
14658429d57a
15368cc03eac
hex1ec8eec5e8

132220110312 has 48 divisors (see below), whose sum is σ = 363966572580. Its totient is φ = 43350854400.

The previous prime is 132220110301. The next prime is 132220110329. The reversal of 132220110312 is 213011022231.

132220110312 is a `hidden beast` number, since 1 + 322 + 20 + 1 + 10 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 120515899716 + 11704210596 = 347154^2 + 108186^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15047989 + ... + 15056772.

Almost surely, 2132220110312 is an apocalyptic number.

132220110312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132220110312 is an abundant number, since it is smaller than the sum of its proper divisors (231746462268).

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

132220110312 is a wasteful number, since it uses less digits than its factorization.

132220110312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30104834 (or 30104827 counting only the distinct ones).

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

Adding to 132220110312 its reverse (213011022231), we get a palindrome (345231132543).

The spelling of 132220110312 in words is "one hundred thirty-two billion, two hundred twenty million, one hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 4392 30104761 60209522 90314283 120419044 180628566 240838088 270942849 361257132 541885698 722514264 1083771396 1836390421 2167542792 3672780842 5509171263 7345561684 11018342526 14691123368 16527513789 22036685052 33055027578 44073370104 66110055156 132220110312