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10032322021 = 312411012521
BaseRepresentation
bin10010101011111100…
…10001010111100101
3221220011120202121021
421111332101113211
5131021233301041
64335255251141
7503416221151
oct112576212745
927804522537
1010032322021
114288a91027
121b3b979ab1
13c3b5c6327
146b2578061
153dab44cd1
hex255f915e5

10032322021 has 24 divisors (see below), whose sum is σ = 10728618264. Its totient is φ = 9374400000.

The previous prime is 10032322019. The next prime is 10032322057. The reversal of 10032322021 is 12022323001.

It can be written as a sum of positive squares in 4 ways, for example, as 6305121 + 10026016900 = 2511^2 + 100130^2 .

It is not a de Polignac number, because 10032322021 - 21 = 10032322019 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10032321986 and 10032322004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032352021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3978241 + ... + 3980761.

It is an arithmetic number, because the mean of its divisors is an integer number (447025761).

Almost surely, 210032322021 is an apocalyptic number.

It is an amenable number.

10032322021 is a deficient number, since it is larger than the sum of its proper divisors (696296243).

10032322021 is a wasteful number, since it uses less digits than its factorization.

10032322021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10032322021 its reverse (12022323001), we get a palindrome (22054645022).

The spelling of 10032322021 in words is "ten billion, thirty-two million, three hundred twenty-two thousand, twenty-one".

Divisors: 1 31 41 101 961 1271 2521 3131 4141 39401 78151 97061 103361 128371 254621 2422681 3204191 3979501 7893251 10439461 99329921 244690781 323623291 10032322021