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10311330133 = 131934109737
BaseRepresentation
bin10011001101001101…
…00110100101010101
3222121121120211210001
421212212212211111
5132104200031013
64423103331301
7513344600656
oct114646464525
928547524701
1010311330133
114411527a45
121bb92b0b31
13c843543a0
146db64552d
154053a8ddd
hex2669a6955

10311330133 has 8 divisors (see below), whose sum is σ = 11162048408. Its totient is φ = 9468831744.

The previous prime is 10311330079. The next prime is 10311330149. The reversal of 10311330133 is 33103311301.

It is a happy number.

10311330133 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 4 ways, for example, as 22676644 + 10288653489 = 4762^2 + 101433^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10311330133 - 221 = 10309232981 is a prime.

It is a super-2 number, since 2×103113301332 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10311330133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10311330233) 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 7 ways as a sum of consecutive naturals, for example, 2052360 + ... + 2057377.

It is an arithmetic number, because the mean of its divisors is an integer number (1395256051).

Almost surely, 210311330133 is an apocalyptic number.

10311330133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10311330133 is a deficient number, since it is larger than the sum of its proper divisors (850718275).

10311330133 is a wasteful number, since it uses less digits than its factorization.

10311330133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4109943.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 10311330133 its reverse (33103311301), we get a palindrome (43414641434).

The spelling of 10311330133 in words is "ten billion, three hundred eleven million, three hundred thirty thousand, one hundred thirty-three".

Divisors: 1 13 193 2509 4109737 53426581 793179241 10311330133