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12011000202 = 2321574250177
BaseRepresentation
bin10110010111110100…
…10101000110001010
31011000001211000210100
423023322111012022
5144044304001302
65303501230230
7603433550205
oct131372250612
934001730710
1012011000202
115103995253
1223b2562376
131195516716
1481d28293c
154a46e4d1c
hex2cbe9518a

12011000202 has 24 divisors (see below), whose sum is σ = 26189596836. Its totient is φ = 3978164736.

The previous prime is 12011000201. The next prime is 12011000237. The reversal of 12011000202 is 20200011021.

12011000202 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 11909575161 + 101425041 = 109131^2 + 10071^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12011000201) 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, 2122263 + ... + 2127914.

Almost surely, 212011000202 is an apocalyptic number.

12011000202 is an abundant number, since it is smaller than the sum of its proper divisors (14178596634).

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

12011000202 is a wasteful number, since it uses less digits than its factorization.

12011000202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4250342 (or 4250339 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12011000202 its reverse (20200011021), we get a palindrome (32211011223).

The spelling of 12011000202 in words is "twelve billion, eleven million, two hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 157 314 471 942 1413 2826 4250177 8500354 12750531 25501062 38251593 76503186 667277789 1334555578 2001833367 4003666734 6005500101 12011000202