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12442101001 = 112102827281
BaseRepresentation
bin10111001011001101…
…10110010100001001
31012010010000012220121
423211212312110021
5200440134213001
65414341223241
7620220053641
oct134546662411
935103005817
1012442101001
115305272700
1224b2a01b21
131233927055
14860621521
154cc49d6a1
hex2e59b6509

12442101001 has 6 divisors (see below), whose sum is σ = 13676028506. Its totient is φ = 11311000800.

The previous prime is 12442100941. The next prime is 12442101029. The reversal of 12442101001 is 10010124421.

It is a happy number.

12442101001 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 only one way, i.e., 8775192976 + 3666908025 = 93676^2 + 60555^2 .

It is not a de Polignac number, because 12442101001 - 211 = 12442098953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12442101031) 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 5 ways as a sum of consecutive naturals, for example, 51413520 + ... + 51413761.

Almost surely, 212442101001 is an apocalyptic number.

12442101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12442101001 is a deficient number, since it is larger than the sum of its proper divisors (1233927505).

12442101001 is a wasteful number, since it uses less digits than its factorization.

12442101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102827303 (or 102827292 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12442101001 its reverse (10010124421), we get a palindrome (22452225422).

The spelling of 12442101001 in words is "twelve billion, four hundred forty-two million, one hundred one thousand, one".

Divisors: 1 11 121 102827281 1131100091 12442101001