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11305431 = 3243131223
BaseRepresentation
bin101011001000…
…000111010111
3210021101010200
4223020013113
510343233211
61042151543
7165044304
oct53100727
923241120
1011305431
116421a35
1239525b3
13245ab07
1417040ab
15ed4b56
hexac81d7

11305431 has 24 divisors (see below), whose sum is σ = 16912896. Its totient is φ = 7272720.

The previous prime is 11305423. The next prime is 11305433. The reversal of 11305431 is 13450311.

11305431 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11305431 - 23 = 11305423 is a prime.

It is a super-2 number, since 2×113054312 = 255625540191522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11305433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50586 + ... + 50808.

It is an arithmetic number, because the mean of its divisors is an integer number (704704).

Almost surely, 211305431 is an apocalyptic number.

11305431 is a deficient number, since it is larger than the sum of its proper divisors (5607465).

11305431 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (11305430) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (400).

11305431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 11305431 is about 3362.3549782853. The cubic root of 11305431 is about 224.4376475103.

Adding to 11305431 its reverse (13450311), we get a palindrome (24755742).

It can be divided in two parts, 1130 and 5431, that added together give a 8-th power (6561 = 38).

The spelling of 11305431 in words is "eleven million, three hundred five thousand, four hundred thirty-one".

Divisors: 1 3 9 43 129 131 223 387 393 669 1179 2007 5633 9589 16899 28767 29213 50697 86301 87639 262917 1256159 3768477 11305431