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12110002011 = 332416772749
BaseRepresentation
bin10110100011100111…
…11111011101011011
31011020222002211202000
423101303333131123
5144300130031021
65321355212043
7606045214212
oct132163773533
934228084660
1012110002011
115154864828
12241b747023
1311acb9aa83
1482c494079
154ad24db26
hex2d1cff75b

12110002011 has 32 divisors (see below), whose sum is σ = 18048360000. Its totient is φ = 8025039360.

The previous prime is 12110002001. The next prime is 12110002019. The reversal of 12110002011 is 11020001121.

It is a happy number.

It is not a de Polignac number, because 12110002011 - 29 = 12110001499 is a prime.

It is a super-4 number, since 4×121100020114 (a number of 41 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12110001984 and 12110002002.

It is not an unprimeable number, because it can be changed into a prime (12110002019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4403865 + ... + 4406613.

It is an arithmetic number, because the mean of its divisors is an integer number (564011250).

Almost surely, 212110002011 is an apocalyptic number.

12110002011 is a deficient number, since it is larger than the sum of its proper divisors (5938357989).

12110002011 is a wasteful number, since it uses less digits than its factorization.

12110002011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3676 (or 3670 counting only the distinct ones).

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

Adding to 12110002011 its reverse (11020001121), we get a palindrome (23130003132).

The spelling of 12110002011 in words is "twelve billion, one hundred ten million, two thousand, eleven".

Divisors: 1 3 9 27 241 677 723 2031 2169 2749 6093 6507 8247 18279 24741 74223 163157 489471 662509 1468413 1861073 1987527 4405239 5583219 5962581 16749657 17887743 50248971 448518593 1345555779 4036667337 12110002011