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113042424013 = 3741191338953
BaseRepresentation
bin110100101000111011…
…0101000000011001101
3101210210010021010111221
41221101312220003031
53323002330032023
6123533031243341
711111203515211
oct1512166500315
9353703233457
10113042424013
1143a39557322
1219aa9819551
13a8769163bc
1456852b0941
152e1926b85d
hex1a51da80cd

113042424013 has 16 divisors (see below), whose sum is σ = 118994497776. Its totient is φ = 107245762560.

The previous prime is 113042423971. The next prime is 113042424043. The reversal of 113042424013 is 310424240311.

It can be written as a sum of positive squares in 8 ways, for example, as 24674754724 + 88367669289 = 157082^2 + 297267^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-113042424013 is a prime.

It is a super-3 number, since 3×1130424240133 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113042424043) 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 15 ways as a sum of consecutive naturals, for example, 2882545 + ... + 2921497.

It is an arithmetic number, because the mean of its divisors is an integer number (7437156111).

Almost surely, 2113042424013 is an apocalyptic number.

It is an amenable number.

113042424013 is a deficient number, since it is larger than the sum of its proper divisors (5952073763).

113042424013 is a wasteful number, since it uses less digits than its factorization.

113042424013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40944.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 113042424013 its reverse (310424240311), we get a palindrome (423466664324).

The spelling of 113042424013 in words is "one hundred thirteen billion, forty-two million, four hundred twenty-four thousand, thirteen".

Divisors: 1 37 41 1517 1913 38953 70781 78433 1441261 1597073 2902021 59091701 74517089 2757132293 3055200649 113042424013