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10311340032 = 212327311289
BaseRepresentation
bin10011001101001101…
…01001000000000000
3222121121121100100200
421212212221000000
5132104200340112
64423103445200
7513344641560
oct114646510000
928547540320
1010311340032
114411534424
121bb92b6800
13c84358a46
146db648da0
154053abcdc
hex2669a9000

10311340032 has 312 divisors, whose sum is σ = 35164945920. Its totient is φ = 2848849920.

The previous prime is 10311340031. The next prime is 10311340049. The reversal of 10311340032 is 23004311301.

10311340032 is a `hidden beast` number, since 10 + 311 + 340 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×103113400322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10311339987 and 10311340014.

It is not an unprimeable number, because it can be changed into a prime (10311340031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7998844 + ... + 8000132.

It is an arithmetic number, because the mean of its divisors is an integer number (112708160).

Almost surely, 210311340032 is an apocalyptic number.

10311340032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10311340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17582472960).

10311340032 is an abundant number, since it is smaller than the sum of its proper divisors (24853605888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10311340032 is a wasteful number, since it uses less digits than its factorization.

10311340032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10311340032 its reverse (23004311301), we get a palindrome (33315651333).

The spelling of 10311340032 in words is "ten billion, three hundred eleven million, three hundred forty thousand, thirty-two".