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10032202033 = 721012027117
BaseRepresentation
bin10010101011111011…
…10100000100110001
3221220011100200000021
421111331310010301
5131021220431113
64335252523441
7503415211300
oct112575640461
927804320007
1010032202033
114288a09967
121b3b920581
13c3b583829
146b2546437
153dab1e48d
hex255f74131

10032202033 has 12 divisors (see below), whose sum is σ = 11785664052. Its totient is φ = 8513887200.

The previous prime is 10032202003. The next prime is 10032202067. The reversal of 10032202033 is 33020223001.

10032202033 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 7351862049 + 2680339984 = 85743^2 + 51772^2 .

It is not a de Polignac number, because 10032202033 - 229 = 9495331121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10032201998 and 10032202016.

It is not an unprimeable number, because it can be changed into a prime (10032202003) 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, 1008610 + ... + 1018507.

It is an arithmetic number, because the mean of its divisors is an integer number (982138671).

Almost surely, 210032202033 is an apocalyptic number.

It is an amenable number.

10032202033 is a deficient number, since it is larger than the sum of its proper divisors (1753462019).

10032202033 is a wasteful number, since it uses less digits than its factorization.

10032202033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027232 (or 2027225 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 10032202033 its reverse (33020223001), we get a palindrome (43052425034).

The spelling of 10032202033 in words is "ten billion, thirty-two million, two hundred two thousand, thirty-three".

Divisors: 1 7 49 101 707 4949 2027117 14189819 99328733 204738817 1433171719 10032202033