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113134145121 = 341797847009
BaseRepresentation
bin110100101011101010…
…0100000111001100001
3101211000111212001020000
41221113110200321201
53323144320120441
6123550105210213
711113366236534
oct1512724407141
9354014761200
10113134145121
1143a86303798
1219b14490969
13a88c91b84a
145693548a1b
152e223382b6
hex1a57520e61

113134145121 has 40 divisors (see below), whose sum is σ = 180789202440. Its totient is φ = 70254231552.

The previous prime is 113134145077. The next prime is 113134145147. The reversal of 113134145121 is 121541431311.

113134145121 is a `hidden beast` number, since 1 + 1 + 3 + 134 + 14 + 512 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26548140096 + 86586005025 = 162936^2 + 294255^2 .

It is not a de Polignac number, because 113134145121 - 218 = 113133882977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (113134145161) 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 39 ways as a sum of consecutive naturals, for example, 289936 + ... + 557073.

It is an arithmetic number, because the mean of its divisors is an integer number (4519730061).

Almost surely, 2113134145121 is an apocalyptic number.

It is an amenable number.

113134145121 is a deficient number, since it is larger than the sum of its proper divisors (67655057319).

113134145121 is an equidigital number, since it uses as much as digits as its factorization.

113134145121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847135 (or 847126 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

Adding to 113134145121 its reverse (121541431311), we get a palindrome (234675576432).

The spelling of 113134145121 in words is "one hundred thirteen billion, one hundred thirty-four million, one hundred forty-five thousand, one hundred twenty-one".

Divisors: 1 3 9 17 27 51 81 97 153 291 459 873 1377 1649 2619 4947 7857 14841 44523 133569 847009 2541027 7623081 14399153 22869243 43197459 68607729 82159873 129592377 246479619 388777131 739438857 1166331393 1396717841 2218316571 4190153523 6654949713 12570460569 37711381707 113134145121