Search a number
-
+
10221431 = 115871583
BaseRepresentation
bin100110111111…
…011101110111
3201020022011112
4212333131313
510104041211
61003025235
7152611043
oct46773567
921208145
1010221431
115851570
12350b21b
13216b5ac
141501023
15d6d88b
hex9bf777

10221431 has 8 divisors (see below), whose sum is σ = 11176704. Its totient is φ = 9270520.

The previous prime is 10221397. The next prime is 10221443. The reversal of 10221431 is 13412201.

10221431 is digitally balanced in base 3, 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-10221431 is a prime.

It is a super-3 number, since 3×102214313 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5666 + ... + 7248.

It is an arithmetic number, because the mean of its divisors is an integer number (1397088).

Almost surely, 210221431 is an apocalyptic number.

10221431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10221431 is a deficient number, since it is larger than the sum of its proper divisors (955273).

10221431 is a wasteful number, since it uses less digits than its factorization.

10221431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 10221431 is about 3197.0972772188. The cubic root of 10221431 is about 217.0220694353.

Adding to 10221431 its reverse (13412201), we get a palindrome (23633632).

The spelling of 10221431 in words is "ten million, two hundred twenty-one thousand, four hundred thirty-one".

Divisors: 1 11 587 1583 6457 17413 929221 10221431