Search a number
-
+
10442314331 = 353145320359
BaseRepresentation
bin10011011100110100…
…10001001001011011
3222221202001112022122
421232122101021123
5132341213024311
64444103011455
7516525131051
oct115632211133
928852045278
1010442314331
114479461349
122035139b8b
13ca5525b27
14710bc01d1
15411b2e0db
hex26e69125b

10442314331 has 8 divisors (see below), whose sum is σ = 10479617760. Its totient is φ = 10405055232.

The previous prime is 10442314321. The next prime is 10442314339. The reversal of 10442314331 is 13341324401.

It is a happy number.

10442314331 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-10442314331 is a prime.

It is a super-2 number, since 2×104423143312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10442314331.

It is not an unprimeable number, because it can be changed into a prime (10442314339) 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, 502730 + ... + 523088.

It is an arithmetic number, because the mean of its divisors is an integer number (1309952220).

Almost surely, 210442314331 is an apocalyptic number.

10442314331 is a deficient number, since it is larger than the sum of its proper divisors (37303429).

10442314331 is a wasteful number, since it uses less digits than its factorization.

10442314331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22165.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 10442314331 its reverse (13341324401), we get a palindrome (23783638732).

The spelling of 10442314331 in words is "ten billion, four hundred forty-two million, three hundred fourteen thousand, three hundred thirty-one".

Divisors: 1 353 1453 20359 512909 7186727 29581627 10442314331