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11580731041 = 112175629913
BaseRepresentation
bin10101100100100001…
…11110111010100001
31002220002012002110111
422302100332322201
5142204131343131
65153051131321
7556660406155
oct126220767241
932802162414
1011580731041
114a03025700
1222b2443b41
131127337799
147bc07d065
1547ba52ab1
hex2b243eea1

11580731041 has 12 divisors (see below), whose sum is σ = 13478014116. Its totient is φ = 9908645120.

The previous prime is 11580730999. The next prime is 11580731053. The reversal of 11580731041 is 14013708511.

It is a happy number.

11580731041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3612490816 + 7968240225 = 60104^2 + 89265^2 .

It is not a de Polignac number, because 11580731041 - 225 = 11547176609 is a prime.

It is a super-2 number, since 2×115807310412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11580730994 and 11580731012.

It is not an unprimeable number, because it can be changed into a prime (11580731441) 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 11 ways as a sum of consecutive naturals, for example, 2812900 + ... + 2817013.

It is an arithmetic number, because the mean of its divisors is an integer number (1123167843).

Almost surely, 211580731041 is an apocalyptic number.

11580731041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11580731041 is a deficient number, since it is larger than the sum of its proper divisors (1897283075).

11580731041 is a wasteful number, since it uses less digits than its factorization.

11580731041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5629952 (or 5629941 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 31.

The spelling of 11580731041 in words is "eleven billion, five hundred eighty million, seven hundred thirty-one thousand, forty-one".

Divisors: 1 11 17 121 187 2057 5629913 61929043 95708521 681219473 1052793731 11580731041