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10133004330 = 2325112588937
BaseRepresentation
bin10010110111111100…
…10110000000101010
3222011012000221202200
421123332112000222
5131223022114310
64353253241030
7506051054451
oct113376260052
928135027680
1010133004330
11432a8a9149
121b69633176
13c56418567
146c1aa5b98
153e48d19c0
hex25bf9602a

10133004330 has 24 divisors (see below), whose sum is σ = 26345811492. Its totient is φ = 2702134464.

The previous prime is 10133004319. The next prime is 10133004331. The reversal of 10133004330 is 3340033101.

10133004330 is a `hidden beast` number, since 1 + 0 + 1 + 330 + 0 + 4 + 330 = 666.

10133004330 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 2 ways, for example, as 9912392721 + 220611609 = 99561^2 + 14853^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10133004331) 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 11 ways as a sum of consecutive naturals, for example, 56294379 + ... + 56294558.

Almost surely, 210133004330 is an apocalyptic number.

10133004330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10133004330 is an abundant number, since it is smaller than the sum of its proper divisors (16212807162).

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

10133004330 is a wasteful number, since it uses less digits than its factorization.

10133004330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112588950 (or 112588947 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10133004330 its reverse (3340033101), we get a palindrome (13473037431).

The spelling of 10133004330 in words is "ten billion, one hundred thirty-three million, four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 112588937 225177874 337766811 562944685 675533622 1013300433 1125889370 1688834055 2026600866 3377668110 5066502165 10133004330