Search a number
-
+
10033210331 = 174567129229
BaseRepresentation
bin10010101100000011…
…01010001111011011
3221220020020220010122
421112001222033123
5131022000212311
64335330303455
7503426611034
oct112601521733
927806226118
1010033210331
114289538471
121b40127b8b
13c3b847761
146b2729a8b
153dac6d0db
hex25606a3db

10033210331 has 8 divisors (see below), whose sum is σ = 10625807520. Its totient is φ = 9440880768.

The previous prime is 10033210321. The next prime is 10033210337. The reversal of 10033210331 is 13301233001.

10033210331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10033210331 is a prime.

It is a super-2 number, since 2×100332103312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10033210337) 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, 13025 + ... + 142253.

It is an arithmetic number, because the mean of its divisors is an integer number (1328225940).

Almost surely, 210033210331 is an apocalyptic number.

10033210331 is a deficient number, since it is larger than the sum of its proper divisors (592597189).

10033210331 is a wasteful number, since it uses less digits than its factorization.

10033210331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133813.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 10033210331 its reverse (13301233001), we get a palindrome (23334443332).

The spelling of 10033210331 in words is "ten billion, thirty-three million, two hundred ten thousand, three hundred thirty-one".

Divisors: 1 17 4567 77639 129229 2196893 590188843 10033210331