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12001031311 is a prime number
BaseRepresentation
bin10110010110101000…
…10011010010001111
31010222101001120001011
423023110103102033
5144034231000221
65302503430051
7603253040323
oct131324232217
933871046034
1012001031311
1150a92a64a5
1223ab155327
131193436079
1481bc09983
154a38c61e1
hex2cb51348f

12001031311 has 2 divisors, whose sum is σ = 12001031312. Its totient is φ = 12001031310.

The previous prime is 12001031291. The next prime is 12001031369. The reversal of 12001031311 is 11313010021.

12001031311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 12001031311 - 213 = 12001023119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12001031291 and 12001031300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12001035311) 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 as a sum of consecutive naturals, namely, 6000515655 + 6000515656.

It is an arithmetic number, because the mean of its divisors is an integer number (6000515656).

Almost surely, 212001031311 is an apocalyptic number.

12001031311 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001031311 is an equidigital number, since it uses as much as digits as its factorization.

12001031311 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 13.

Adding to 12001031311 its reverse (11313010021), we get a palindrome (23314041332).

It can be divided in two parts, 120010 and 31311, that added together give a square (151321 = 3892).

The spelling of 12001031311 in words is "twelve billion, one million, thirty-one thousand, three hundred eleven".