Search a number
-
+
12331110213 = 3229377091801
BaseRepresentation
bin10110111101111110…
…11100111101000101
31011211101011022011200
423132333130331011
5200223231011323
65355334253113
7614401464432
oct133677347505
934741138150
1012331110213
115258654684
1224817b7199
131216935a26
1484d9acb89
154c2877443
hex2defdcf45

12331110213 has 48 divisors (see below), whose sum is σ = 18961004400. Its totient is φ = 7707571200.

The previous prime is 12331110193. The next prime is 12331110331. The reversal of 12331110213 is 31201113321.

12331110213 is a `hidden beast` number, since 12 + 331 + 110 + 213 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 371063169 + 11960047044 = 19263^2 + 109362^2 .

It is not a de Polignac number, because 12331110213 - 220 = 12330061637 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12331110413) 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 47 ways as a sum of consecutive naturals, for example, 6845913 + ... + 6847713.

It is an arithmetic number, because the mean of its divisors is an integer number (395020925).

Almost surely, 212331110213 is an apocalyptic number.

It is an amenable number.

12331110213 is a deficient number, since it is larger than the sum of its proper divisors (6629894187).

12331110213 is a wasteful number, since it uses less digits than its factorization.

12331110213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582 (or 2579 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12331110213 its reverse (31201113321), we get a palindrome (43532223534).

The spelling of 12331110213 in words is "twelve billion, three hundred thirty-one million, one hundred ten thousand, two hundred thirteen".

Divisors: 1 3 9 29 37 87 111 261 333 709 1073 1801 2127 3219 5403 6381 9657 16209 20561 26233 52229 61683 66637 78699 156687 185049 199911 236097 470061 599733 760757 1276909 1932473 2282271 3830727 5797419 6846813 11492181 17392257 37030361 47245633 111091083 141736899 333273249 425210697 1370123357 4110370071 12331110213