Search a number
-
+
10521042405 = 356123994793
BaseRepresentation
bin10011100110001101…
…00101110111100101
31000011020012022221020
421303012211313211
5133021341324110
64455554241353
7521502246006
oct116306456745
930136168836
1010521042405
114509943975
122057586259
13cb892c2a3
1471b4351ad
154189d0d70
hex2731a5de5

10521042405 has 32 divisors (see below), whose sum is σ = 17120332800. Its totient is φ = 5515783680.

The previous prime is 10521042397. The next prime is 10521042409. The reversal of 10521042405 is 50424012501.

It is not a de Polignac number, because 10521042405 - 23 = 10521042397 is a prime.

It is a super-2 number, since 2×105210424052 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10521042409) 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, 2192689 + ... + 2197481.

It is an arithmetic number, because the mean of its divisors is an integer number (535010400).

Almost surely, 210521042405 is an apocalyptic number.

10521042405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10521042405 is a deficient number, since it is larger than the sum of its proper divisors (6599290395).

10521042405 is a wasteful number, since it uses less digits than its factorization.

10521042405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7261.

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 10521042405 its reverse (50424012501), we get a palindrome (60945054906).

The spelling of 10521042405 in words is "ten billion, five hundred twenty-one million, forty-two thousand, four hundred five".

Divisors: 1 3 5 15 61 183 305 915 2399 4793 7197 11995 14379 23965 35985 71895 146339 292373 439017 731695 877119 1461865 2195085 4385595 11498407 34495221 57492035 172476105 701402827 2104208481 3507014135 10521042405