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10141130405 = 572320312923
BaseRepresentation
bin10010111000111010…
…10101111010100101
3222011202022210122102
421130131111322211
5131232112133110
64354143341445
7506210120600
oct113435257245
928152283572
1010141130405
11433444940a
121b702b1885
13c580021a3
146c2bbd337
153e54895a5
hex25c755ea5

10141130405 has 24 divisors (see below), whose sum is σ = 14161705632. Its totient is φ = 6951208992.

The previous prime is 10141130401. The next prime is 10141130473. The reversal of 10141130405 is 50403114101.

It is a happy number.

It is not a de Polignac number, because 10141130405 - 22 = 10141130401 is a prime.

It is a super-3 number, since 3×101411304053 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10141130401) 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 23 ways as a sum of consecutive naturals, for example, 778274 + ... + 791196.

It is an arithmetic number, because the mean of its divisors is an integer number (590071068).

Almost surely, 210141130405 is an apocalyptic number.

It is an amenable number.

10141130405 is a deficient number, since it is larger than the sum of its proper divisors (4020575227).

10141130405 is a wasteful number, since it uses less digits than its factorization.

10141130405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16145 (or 16138 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 10141130405 its reverse (50403114101), we get a palindrome (60544244506).

The spelling of 10141130405 in words is "ten billion, one hundred forty-one million, one hundred thirty thousand, four hundred five".

Divisors: 1 5 7 35 49 245 3203 12923 16015 22421 64615 90461 112105 156947 452305 633227 784735 3166135 41392369 206961845 289746583 1448732915 2028226081 10141130405