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10331181413 = 72210840437
BaseRepresentation
bin10011001111100100…
…10101000101100101
3222122222221101121122
421213302111011211
5132124240301123
64425053023325
7514005410300
oct114762250545
928588841548
1010331181413
114421756563
122003a84b45
13c884b4bc7
14700131b37
15406ecabc8
hex267c95165

10331181413 has 6 divisors (see below), whose sum is σ = 12017904966. Its totient is φ = 8855298312.

The previous prime is 10331181397. The next prime is 10331181449. The reversal of 10331181413 is 31418113301.

10331181413 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 only one way, i.e., 9948666049 + 382515364 = 99743^2 + 19558^2 .

It is not a de Polignac number, because 10331181413 - 24 = 10331181397 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10331181013) 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 5 ways as a sum of consecutive naturals, for example, 105420170 + ... + 105420267.

It is an arithmetic number, because the mean of its divisors is an integer number (2002984161).

Almost surely, 210331181413 is an apocalyptic number.

It is an amenable number.

10331181413 is a deficient number, since it is larger than the sum of its proper divisors (1686723553).

10331181413 is an equidigital number, since it uses as much as digits as its factorization.

10331181413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210840451 (or 210840444 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

Adding to 10331181413 its reverse (31418113301), we get a palindrome (41749294714).

The spelling of 10331181413 in words is "ten billion, three hundred thirty-one million, one hundred eighty-one thousand, four hundred thirteen".

Divisors: 1 7 49 210840437 1475883059 10331181413