Search a number
-
+
21332244223312 = 2411990112241787
BaseRepresentation
bin1001101100110110011001…
…10101101101010101010000
32210112100020210000012212221
410312123030311231111100
510244001414010121222
6113211521523230424
74331126620046251
oct466331465552520
983470223005787
1021332244223312
116884a54808470
1224863b9518414
13bb98116b9849
1453a6b3d20b28
1526ed7993a0c7
hex1366ccd6d550

21332244223312 has 40 divisors (see below), whose sum is σ = 45093164736672. Its totient is φ = 9695494512000.

The previous prime is 21332244223267. The next prime is 21332244223333.

It is a happy number.

21332244223312 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4378318 + ... + 7863469.

Almost surely, 221332244223312 is an apocalyptic number.

21332244223312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21332244223312 is an abundant number, since it is smaller than the sum of its proper divisors (23760920513360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21332244223312 is a wasteful number, since it uses less digits than its factorization.

21332244223312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12251707 (or 12251701 counting only the distinct ones).

The product of its digits is 82944, while the sum is 34.

It can be divided in two parts, 2133224 and 4223312, that added together give a palindrome (6356536).

The spelling of 21332244223312 in words is "twenty-one trillion, three hundred thirty-two billion, two hundred forty-four million, two hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 176 9901 19802 39604 79208 108911 158416 217822 435644 871288 1742576 12241787 24483574 48967148 97934296 134659657 195868592 269319314 538638628 1077277256 2154554512 121205933087 242411866174 484823732348 969647464696 1333265263957 1939294929392 2666530527914 5333061055828 10666122111656 21332244223312