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11114032397 = 1311324131393
BaseRepresentation
bin10100101100111001…
…01010110100001101
31001200120000100021112
422112130222310031
5140230143014042
65034500141405
7542262500546
oct122634526415
931616010245
1011114032397
114793644046
1221a2097865
131081742240
147760b54cd
15450ab6982
hex29672ad0d

11114032397 has 16 divisors (see below), whose sum is σ = 12125367408. Its totient is φ = 10125803520.

The previous prime is 11114032393. The next prime is 11114032409. The reversal of 11114032397 is 79323041111.

11114032397 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 8 ways, for example, as 19412836 + 11094619561 = 4406^2 + 105331^2 .

It is a cyclic number.

It is not a de Polignac number, because 11114032397 - 22 = 11114032393 is a prime.

It is a super-2 number, since 2×111140323972 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11114032393) 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 15 ways as a sum of consecutive naturals, for example, 338333 + ... + 369725.

It is an arithmetic number, because the mean of its divisors is an integer number (757835463).

Almost surely, 211114032397 is an apocalyptic number.

It is an amenable number.

11114032397 is a deficient number, since it is larger than the sum of its proper divisors (1011335011).

11114032397 is a wasteful number, since it uses less digits than its factorization.

11114032397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31760.

The product of its (nonzero) digits is 4536, while the sum is 32.

The spelling of 11114032397 in words is "eleven billion, one hundred fourteen million, thirty-two thousand, three hundred ninety-seven".

Divisors: 1 13 113 241 1469 3133 27233 31393 354029 408109 3547409 7565713 46116317 98354269 854925569 11114032397