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123124421321 = 1121017557201
BaseRepresentation
bin111001010101011001…
…0011001001011001001
3102202210202022122210122
41302222302121023021
54004124322440241
6132321303353025
711616065212316
oct1625262311311
9382722278718
10123124421321
1148242587100
121ba42152775
13b7c25b3095
145d60299d0d
15330942504b
hex1caac992c9

123124421321 has 6 divisors (see below), whose sum is σ = 135335107866. Its totient is φ = 111931292000.

The previous prime is 123124421311. The next prime is 123124421327.

It is a happy number.

123124421321 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 86809783225 + 36314638096 = 294635^2 + 190564^2 .

It is not a de Polignac number, because 123124421321 - 210 = 123124420297 is a prime.

It is a super-2 number, since 2×1231244213212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123124421327) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 508778480 + ... + 508778721.

It is an arithmetic number, because the mean of its divisors is an integer number (22555851311).

Almost surely, 2123124421321 is an apocalyptic number.

123124421321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123124421321 is a deficient number, since it is larger than the sum of its proper divisors (12210686545).

123124421321 is a wasteful number, since it uses less digits than its factorization.

123124421321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017557223 (or 1017557212 counting only the distinct ones).

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

It can be divided in two parts, 123124 and 421321, that added together give a palindrome (544445).

The spelling of 123124421321 in words is "one hundred twenty-three billion, one hundred twenty-four million, four hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 11 121 1017557201 11193129211 123124421321