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10541438431 = 193197307601
BaseRepresentation
bin10011101000101000…
…11001010111011111
31000012122120120000121
421310110121113133
5133042102012211
64502003335411
7522140514436
oct116424312737
930178516017
1010541438431
11451a404797
122062381567
13cbcc20a44
1472002411d
1541a6ae271
hex2745195df

10541438431 has 32 divisors (see below), whose sum is σ = 11629291520. Its totient is φ = 9517824000.

The previous prime is 10541438429. The next prime is 10541438449. The reversal of 10541438431 is 13483414501.

It is a cyclic number.

It is not a de Polignac number, because 10541438431 - 21 = 10541438429 is a prime.

It is a super-2 number, since 2×105414384312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10541432431) 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 31 ways as a sum of consecutive naturals, for example, 17539531 + ... + 17540131.

It is an arithmetic number, because the mean of its divisors is an integer number (363415360).

Almost surely, 210541438431 is an apocalyptic number.

10541438431 is a deficient number, since it is larger than the sum of its proper divisors (1087853089).

10541438431 is a wasteful number, since it uses less digits than its factorization.

10541438431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055.

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 10541438431 in words is "ten billion, five hundred forty-one million, four hundred thirty-eight thousand, four hundred thirty-one".

Divisors: 1 19 31 97 307 589 601 1843 3007 5833 9517 11419 18631 29779 57133 58297 180823 184507 353989 565801 923149 1107643 1807207 3505633 5719717 17539831 17897179 34336933 108674623 340046401 554812549 10541438431