Search a number
-
+
10032421321 = 133532186189
BaseRepresentation
bin10010101011111101…
…01001100111001001
3221220011202210211001
421111332221213021
5131021244440241
64335301335001
7503420113516
oct112576514711
927804683731
1010032421321
11428904969a
121b3ba07461
13c3b62c5a0
146b25a230d
153dab64431
hex255fa99c9

10032421321 has 8 divisors (see below), whose sum is σ = 10834757640. Its totient is φ = 9234458112.

The previous prime is 10032421297. The next prime is 10032421369. The reversal of 10032421321 is 12312423001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 238548025 + 9793873296 = 15445^2 + 98964^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10032421321 - 221 = 10030324169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10032421381) 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 7 ways as a sum of consecutive naturals, for example, 1088506 + ... + 1097683.

It is an arithmetic number, because the mean of its divisors is an integer number (1354344705).

Almost surely, 210032421321 is an apocalyptic number.

It is an amenable number.

10032421321 is a deficient number, since it is larger than the sum of its proper divisors (802336319).

10032421321 is a wasteful number, since it uses less digits than its factorization.

10032421321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186555.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10032421321 its reverse (12312423001), we get a palindrome (22344844322).

The spelling of 10032421321 in words is "ten billion, thirty-two million, four hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 13 353 4589 2186189 28420457 771724717 10032421321