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11071186721 = 726328121401
BaseRepresentation
bin10100100111110010…
…01110011100100001
31001120120101120001122
422103321032130201
5140133210433341
65030325542025
7541232351210
oct122371163441
931516346048
1011071186721
11477143a4a1
12218b874915
1310758c037a
14770521077
1544be5194b
hex293e4e721

11071186721 has 16 divisors (see below), whose sum is σ = 12746688768. Its totient is φ = 9419424000.

The previous prime is 11071186699. The next prime is 11071186787. The reversal of 11071186721 is 12768117011.

11071186721 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-11071186721 is a prime.

It is a super-2 number, since 2×110711867212 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11071186121) 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, 506621 + ... + 528021.

It is an arithmetic number, because the mean of its divisors is an integer number (796668048).

Almost surely, 211071186721 is an apocalyptic number.

It is an amenable number.

11071186721 is a deficient number, since it is larger than the sum of its proper divisors (1675502047).

11071186721 is a wasteful number, since it uses less digits than its factorization.

11071186721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21952.

The product of its (nonzero) digits is 4704, while the sum is 35.

The spelling of 11071186721 in words is "eleven billion, seventy-one million, one hundred eighty-six thousand, seven hundred twenty-one".

Divisors: 1 7 263 281 1841 1967 21401 73903 149807 517321 5628463 6013681 39399241 42095767 1581598103 11071186721