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21133431 = 32111729433
BaseRepresentation
bin101000010011…
…1100001110111
31110202200121200
41100213201313
520402232211
62032543543
7344426334
oct120474167
943680550
1021133431
1110a24950
1270b1bb3
1344bc2b7
142b4198b
151cc6b56
hex1427877

21133431 has 48 divisors (see below), whose sum is σ = 36560160. Its totient is φ = 11612160.

The previous prime is 21133429. The next prime is 21133433. The reversal of 21133431 is 13433112.

It is an interprime number because it is at equal distance from previous prime (21133429) and next prime (21133433).

It is not a de Polignac number, because 21133431 - 21 = 21133429 is a prime.

It is a super-4 number, since 4×211334314 (a number of 30 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21133433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48591 + ... + 49023.

It is an arithmetic number, because the mean of its divisors is an integer number (761670).

Almost surely, 221133431 is an apocalyptic number.

21133431 is a deficient number, since it is larger than the sum of its proper divisors (15426729).

21133431 is a wasteful number, since it uses less digits than its factorization.

21133431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 493 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 21133431 is about 4597.1111581079. Note that the first 4 decimals coincide. The cubic root of 21133431 is about 276.4755114143.

Adding to 21133431 its reverse (13433112), we get a palindrome (34566543).

The spelling of 21133431 in words is "twenty-one million, one hundred thirty-three thousand, four hundred thirty-one".

Divisors: 1 3 9 11 17 29 33 51 87 99 153 187 261 319 433 493 561 957 1299 1479 1683 2871 3897 4437 4763 5423 7361 12557 14289 16269 22083 37671 42867 48807 66249 80971 113013 138127 213469 242913 414381 640407 728739 1243143 1921221 2348159 7044477 21133431