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10030266960 = 2435753127887
BaseRepresentation
bin10010101011101100…
…11011101001010000
3221220000201100120220
421111312123221100
5131020222020320
64335143233040
7503362601550
oct112566335120
927800640526
1010030266960
11428790802a
121b3b148780
13c3b056b0c
146b21a1160
153da88ae40
hex255d9ba50

10030266960 has 320 divisors, whose sum is σ = 36532518912. Its totient is φ = 2229147648.

The previous prime is 10030266947. The next prime is 10030266977. The reversal of 10030266960 is 6966203001.

It is a happy number.

10030266960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 11307637 + ... + 11308523.

Almost surely, 210030266960 is an apocalyptic number.

10030266960 is a gapful number since it is divisible by the number (10) 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 10030266960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18266259456).

10030266960 is an abundant number, since it is smaller than the sum of its proper divisors (26502251952).

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

10030266960 is a wasteful number, since it uses less digits than its factorization.

10030266960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

Adding to 10030266960 its reverse (6966203001), we get a palindrome (16996469961).

The spelling of 10030266960 in words is "ten billion, thirty million, two hundred sixty-six thousand, nine hundred sixty".