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124013014013 = 72113157142657
BaseRepresentation
bin111001101111111000…
…0000110101111111101
3102212002200100211211002
41303133300012233331
54012434312422023
6132545405140045
711650105140500
oct1633760065775
9385080324732
10124013014013
1148659127a29
122004b85a625
13b904714485
1460062c7137
15335c44bb28
hex1cdfc06bfd

124013014013 has 24 divisors (see below), whose sum is σ = 146464686072. Its totient is φ = 104684396544.

The previous prime is 124013014007. The next prime is 124013014039. The reversal of 124013014013 is 310410310421.

It can be written as a sum of positive squares in 4 ways, for example, as 15983786329 + 108029227684 = 126427^2 + 328678^2 .

It is not a de Polignac number, because 124013014013 - 222 = 124008819709 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124013014093) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 797981 + ... + 940637.

It is an arithmetic number, because the mean of its divisors is an integer number (6102695253).

Almost surely, 2124013014013 is an apocalyptic number.

It is an amenable number.

124013014013 is a deficient number, since it is larger than the sum of its proper divisors (22451672059).

124013014013 is a wasteful number, since it uses less digits than its factorization.

124013014013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142941 (or 142934 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 124013014013 its reverse (310410310421), we get a palindrome (434423324434).

The spelling of 124013014013 in words is "one hundred twenty-four billion, thirteen million, fourteen thousand, thirteen".

Divisors: 1 7 49 113 157 791 1099 5537 7693 17741 124187 142657 869309 998599 6990193 16120241 22397149 112841687 156780043 789891809 1097460301 2530877837 17716144859 124013014013