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12311203201 = 1121011007381
BaseRepresentation
bin10110111011100111…
…00000110110000001
31011202222200220212221
423131303200312001
5200203132000301
65353343451041
7614040333463
oct133563406601
934688626787
1012311203201
115248398200
122476bb6a81
131212785a2b
1484b0aa133
154c0c43da1
hex2ddce0d81

12311203201 has 12 divisors (see below), whose sum is σ = 13666144212. Its totient is φ = 11081180000.

The previous prime is 12311203129. The next prime is 12311203207. The reversal of 12311203201 is 10230211321.

12311203201 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 8982490176 + 3328713025 = 94776^2 + 57695^2 .

It is not a de Polignac number, because 12311203201 - 211 = 12311201153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12311203207) 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, 491470 + ... + 515911.

It is an arithmetic number, because the mean of its divisors is an integer number (1138845351).

Almost surely, 212311203201 is an apocalyptic number.

12311203201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12311203201 is a deficient number, since it is larger than the sum of its proper divisors (1354941011).

12311203201 is a wasteful number, since it uses less digits than its factorization.

12311203201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007504 (or 1007493 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12311203201 its reverse (10230211321), we get a palindrome (22541414522).

It can be divided in two parts, 1231120 and 3201, that added together give a palindrome (1234321).

The spelling of 12311203201 in words is "twelve billion, three hundred eleven million, two hundred three thousand, two hundred one".

Divisors: 1 11 101 121 1111 12221 1007381 11081191 101745481 121893101 1119200291 12311203201