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113517270721 = 17113154938149
BaseRepresentation
bin110100110111000101…
…0000001011011000001
3101212000012202211202001
41221232022001123001
53324440410130341
6124052113024001
711126030611021
oct1515612013301
9355005684661
10113517270721
11441625a3718
121a000855001
13a92110259a
1456cc399a81
152e45cb6d31
hex1a6e2816c1

113517270721 has 16 divisors (see below), whose sum is σ = 121339890000. Its totient is φ = 105823162368.

The previous prime is 113517270703. The next prime is 113517270739. The reversal of 113517270721 is 127072715311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (113517270703) and next prime (113517270739).

It can be written as a sum of positive squares in 8 ways, for example, as 56085121 + 113461185600 = 7489^2 + 336840^2 .

It is not a de Polignac number, because 113517270721 - 231 = 111369787073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113517270701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2956555 + ... + 2994703.

It is an arithmetic number, because the mean of its divisors is an integer number (7583743125).

Almost surely, 2113517270721 is an apocalyptic number.

It is an amenable number.

113517270721 is a deficient number, since it is larger than the sum of its proper divisors (7822619279).

113517270721 is a wasteful number, since it uses less digits than its factorization.

113517270721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39828.

The product of its (nonzero) digits is 20580, while the sum is 37.

The spelling of 113517270721 in words is "one hundred thirteen billion, five hundred seventeen million, two hundred seventy thousand, seven hundred twenty-one".

Divisors: 1 17 113 1549 1921 26333 38149 175037 648533 2975629 4310837 59092801 73284229 1004577617 6677486513 113517270721