Search a number
-
+
12232123321 = 114745235231
BaseRepresentation
bin10110110010001011…
…10110001110111001
31011120110220020200111
423121011312032321
5200022410421241
65341440504321
7612060222055
oct133105661671
934513806614
1012232123321
115207795330
12245461b0a1
1311cc2883c2
148407a2c65
154b8d22c81
hex2d91763b9

12232123321 has 16 divisors (see below), whose sum is σ = 13633671168. Its totient is φ = 10879027600.

The previous prime is 12232123307. The next prime is 12232123331. The reversal of 12232123321 is 12332123221.

It is a cyclic number.

It is not a de Polignac number, because 12232123321 - 215 = 12232090553 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12232123292 and 12232123301.

It is not an unprimeable number, because it can be changed into a prime (12232123331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2335776 + ... + 2341006.

It is an arithmetic number, because the mean of its divisors is an integer number (852104448).

Almost surely, 212232123321 is an apocalyptic number.

12232123321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12232123321 is a deficient number, since it is larger than the sum of its proper divisors (1401547847).

12232123321 is a wasteful number, since it uses less digits than its factorization.

12232123321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9812.

The product of its digits is 864, while the sum is 22.

Adding to 12232123321 its reverse (12332123221), we get a palindrome (24564246542).

The spelling of 12232123321 in words is "twelve billion, two hundred thirty-two million, one hundred twenty-three thousand, three hundred twenty-one".

Divisors: 1 11 47 517 4523 5231 49753 57541 212581 245857 2338391 2704427 23659813 260257943 1112011211 12232123321