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12011002011 = 3297109126223
BaseRepresentation
bin10110010111110100…
…10101100010011011
31011000001211010021100
423023322111202123
5144044304031021
65303501242443
7603433555401
oct131372254233
934001733240
1012011002011
115103996648
1223b2563423
1311955174a8
1481d283471
154a46e5626
hex2cbe9589b

12011002011 has 24 divisors (see below), whose sum is σ = 17689031360. Its totient is φ = 7852018176.

The previous prime is 12011001983. The next prime is 12011002067. The reversal of 12011002011 is 11020011021.

It is a happy number.

It is not a de Polignac number, because 12011002011 - 25 = 12011001979 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12011001984 and 12011002002.

It is not an unprimeable number, because it can be changed into a prime (12011002811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32046 + ... + 158268.

Almost surely, 212011002011 is an apocalyptic number.

12011002011 is a deficient number, since it is larger than the sum of its proper divisors (5678029349).

12011002011 is a wasteful number, since it uses less digits than its factorization.

12011002011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126435 (or 126432 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12011002011 its reverse (11020011021), we get a palindrome (23031013032).

The spelling of 12011002011 in words is "twelve billion, eleven million, two thousand, eleven".

Divisors: 1 3 9 97 109 291 327 873 981 10573 31719 95157 126223 378669 1136007 12243631 13758307 36730893 41274921 110192679 123824763 1334555779 4003667337 12011002011