Search a number
-
+
123232232321 = 1121018448201
BaseRepresentation
bin111001011000100110…
…1101010001110000001
3102210002021012000200122
41302301031222032001
54004334422413241
6132340114230025
711621544456152
oct1626115521601
9383067160618
10123232232321
1148298423100
121ba72285315
13b80ba2cc83
145d70721929
153313b1e04b
hex1cb136a381

123232232321 has 6 divisors (see below), whose sum is σ = 135453610866. Its totient is φ = 112029302000.

The previous prime is 123232232293. The next prime is 123232232363.

123232232321 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 123138529921 + 93702400 = 350911^2 + 9680^2 .

It is not a de Polignac number, because 123232232321 - 26 = 123232232257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123232232371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 509223980 + ... + 509224221.

It is an arithmetic number, because the mean of its divisors is an integer number (22575601811).

Almost surely, 2123232232321 is an apocalyptic number.

123232232321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123232232321 is a deficient number, since it is larger than the sum of its proper divisors (12221378545).

123232232321 is a wasteful number, since it uses less digits than its factorization.

123232232321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018448223 (or 1018448212 counting only the distinct ones).

The product of its digits is 5184, while the sum is 26.

It can be divided in two parts, 123232 and 232321, that added together give a palindrome (355553).

The spelling of 123232232321 in words is "one hundred twenty-three billion, two hundred thirty-two million, two hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 11 121 1018448201 11202930211 123232232321