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12003111311 is a prime number
BaseRepresentation
bin10110010110111000…
…01111000110001111
31010222111222020021012
423023130033012033
5144040244030221
65303020155435
7603306522422
oct131334170617
933874866235
1012003111311
1150aa497204
1223ab998b7b
1311939b3a39
1481c1cb9b9
154a3b8765b
hex2cb70f18f

12003111311 has 2 divisors, whose sum is σ = 12003111312. Its totient is φ = 12003111310.

The previous prime is 12003111301. The next prime is 12003111413. The reversal of 12003111311 is 11311130021.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12003111311 is a prime.

It is a super-3 number, since 3×120031113113 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12003111301) 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 as a sum of consecutive naturals, namely, 6001555655 + 6001555656.

It is an arithmetic number, because the mean of its divisors is an integer number (6001555656).

Almost surely, 212003111311 is an apocalyptic number.

12003111311 is a deficient number, since it is larger than the sum of its proper divisors (1).

12003111311 is an equidigital number, since it uses as much as digits as its factorization.

12003111311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 12003111311 its reverse (11311130021), we get a palindrome (23314241332).

The spelling of 12003111311 in words is "twelve billion, three million, one hundred eleven thousand, three hundred eleven".