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7315115137 = 112137441281
BaseRepresentation
bin1101101000000001…
…11100110010000001
3200212210200100111021
412310000330302001
5104440132141022
63205512145441
7346163311201
oct66400746201
920783610437
107315115137
113114212300
121501998281
138c76968c5
144d5746401
152cc3117c7
hex1b403cc81

7315115137 has 12 divisors (see below), whose sum is σ = 8099289828. Its totient is φ = 6601548800.

The previous prime is 7315115089. The next prime is 7315115153.

7315115137 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 1485639936 + 5829475201 = 38544^2 + 76351^2 .

It is not a de Polignac number, because 7315115137 - 27 = 7315115009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7315110137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204064 + ... + 237217.

It is an arithmetic number, because the mean of its divisors is an integer number (674940819).

Almost surely, 27315115137 is an apocalyptic number.

It is an amenable number.

7315115137 is a deficient number, since it is larger than the sum of its proper divisors (784174691).

7315115137 is a wasteful number, since it uses less digits than its factorization.

7315115137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441440 (or 441429 counting only the distinct ones).

The product of its digits is 11025, while the sum is 34.

The square root of 7315115137 is about 85528.4463614299. The cubic root of 7315115137 is about 1941.2153734273.

It can be divided in two parts, 73151 and 15137, that added together give a palindrome (88288).

The spelling of 7315115137 in words is "seven billion, three hundred fifteen million, one hundred fifteen thousand, one hundred thirty-seven".

Divisors: 1 11 121 137 1507 16577 441281 4854091 53395001 60455497 665010467 7315115137