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123241142321 = 1170115982511
BaseRepresentation
bin111001011000110111…
…1101001100000110001
3102210002212221200220122
41302301233221200301
54004344213023241
6132341033220025
711622013265633
oct1626157514061
9383085850818
10123241142321
11482a2459340
121ba75261615
13b81082c66b
145d719a0a53
1533147ce04b
hex1cb1be9831

123241142321 has 8 divisors (see below), whose sum is σ = 134636681088. Its totient is φ = 111877570000.

The previous prime is 123241142207. The next prime is 123241142341.

It is a happy number.

123241142321 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 123241142321 - 234 = 106061273137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123241142341) 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 7 ways as a sum of consecutive naturals, for example, 7983545 + ... + 7998966.

It is an arithmetic number, because the mean of its divisors is an integer number (16829585136).

Almost surely, 2123241142321 is an apocalyptic number.

123241142321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123241142321 is a deficient number, since it is larger than the sum of its proper divisors (11395538767).

123241142321 is a wasteful number, since it uses less digits than its factorization.

123241142321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15983223.

The product of its digits is 2304, while the sum is 26.

It can be divided in two parts, 123241 and 142321, that added together give a palindrome (265562).

The spelling of 123241142321 in words is "one hundred twenty-three billion, two hundred forty-one million, one hundred forty-two thousand, three hundred twenty-one".

Divisors: 1 11 701 7711 15982511 175807621 11203740211 123241142321