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11071261116 = 2234103331753
BaseRepresentation
bin10100100111110011…
…00000100110111100
31001120120112100010000
422103321200212330
5140133220323431
65030331314300
7541233111126
oct122371404674
931516470100
1011071261116
114771490383
12218b8ab990
1310759181a6
14770540216
1544be689e6
hex293e609bc

11071261116 has 60 divisors (see below), whose sum is σ = 29223546352. Its totient is φ = 3654580032.

The previous prime is 11071261111. The next prime is 11071261133. The reversal of 11071261116 is 61116217011.

11071261116 = T9424 + T9425 + ... + T9666.

11071261116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11071261116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11071261111) 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 19 ways as a sum of consecutive naturals, for example, 132505 + ... + 199248.

Almost surely, 211071261116 is an apocalyptic number.

It is an amenable number.

11071261116 is an abundant number, since it is smaller than the sum of its proper divisors (18152285236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11071261116 is a wasteful number, since it uses less digits than its factorization.

11071261116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331872 (or 331861 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

Adding to 11071261116 its reverse (61116217011), we get a palindrome (72187478127).

The spelling of 11071261116 in words is "eleven billion, seventy-one million, two hundred sixty-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 103 108 162 206 309 324 412 618 927 1236 1854 2781 3708 5562 8343 11124 16686 33372 331753 663506 995259 1327012 1990518 2985777 3981036 5971554 8957331 11943108 17914662 26871993 34170559 35829324 53743986 68341118 102511677 107487972 136682236 205023354 307535031 410046708 615070062 922605093 1230140124 1845210186 2767815279 3690420372 5535630558 11071261116