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123241202142321 = 34114927124813913
BaseRepresentation
bin11100000001011001010100…
…000100110100110001110001
3121011100202002021102200122010
4130001121110010310301301
5112123140440222023241
61114040120543233133
734646611606626204
oct3401312404646161
9534322067380563
10123241202142321
11362a533379947a
12119a4b792a87a9
13539c7983c28c3
142260c9814193b
15e3abbe615d16
hex701654134c71

123241202142321 has 32 divisors (see below), whose sum is σ = 170084492121600. Its totient is φ = 79325113881600.

The previous prime is 123241202142307. The next prime is 123241202142379.

123241202142321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 123241202142321 - 239 = 122691446328433 is a prime.

It is a super-3 number, since 3×1232412021423213 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (123241202142391) 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 31 ways as a sum of consecutive naturals, for example, 7440340 + ... + 17373573.

It is an arithmetic number, because the mean of its divisors is an integer number (5315140378800).

Almost surely, 2123241202142321 is an apocalyptic number.

It is an amenable number.

123241202142321 is a deficient number, since it is larger than the sum of its proper divisors (46843289979279).

123241202142321 is a wasteful number, since it uses less digits than its factorization.

123241202142321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24814377.

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 12324120 and 2142321, that added together give a palindrome (14466441).

The spelling of 123241202142321 in words is "one hundred twenty-three trillion, two hundred forty-one billion, two hundred two million, one hundred forty-two thousand, three hundred twenty-one".

Divisors: 1 3 41 123 149 271 447 813 6109 11111 18327 33333 40379 121137 1655539 4966617 24813913 74441739 1017370433 3052111299 3697273037 6724570423 11091819111 20173711269 151588194517 275707387343 454764583551 827122162029 1001960993027 3005882979081 41080400714107 123241202142321