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21322132031331 = 33789708593753
BaseRepresentation
bin1001101100100011100100…
…00110110000011101100011
32210111101011001010122022000
410312101302012300131203
510243320211300000311
6113203130252015043
74330321210613055
oct466216206603543
983441131118260
1021322132031331
116880735734a0a
122484456a61483
13bb888c6aa3b1
14539dd4d158d5
1526e986cba056
hex1364721b0763

21322132031331 has 8 divisors (see below), whose sum is σ = 31588343750160. Its totient is φ = 14214754687536.

The previous prime is 21322132031323. The next prime is 21322132031353. The reversal of 21322132031331 is 13313023122312.

21322132031331 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 2 + 1 + 320 + 3 + 1 + 331 = 666.

It is not a de Polignac number, because 21322132031331 - 23 = 21322132031323 is a prime.

It is a super-5 number, since 5×213221320313315 (a number of 68 digits) contains 55555 as substring. Note that it is a super-d number also for d = 3, 2.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 789708593753 = 21322132031331 / (2 + 1 + 3 + 2 + 2 + 1 + 3 + 2 + 0 + 3 + 1 + 3 + 3 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 21322132031295 and 21322132031304.

It is not an unprimeable number, because it can be changed into a prime (21322132031831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 394854296850 + ... + 394854296903.

It is an arithmetic number, because the mean of its divisors is an integer number (3948542968770).

Almost surely, 221322132031331 is an apocalyptic number.

21322132031331 is a deficient number, since it is larger than the sum of its proper divisors (10266211718829).

21322132031331 is an equidigital number, since it uses as much as digits as its factorization.

21322132031331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789708593762 (or 789708593756 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 21322132031331 its reverse (13313023122312), we get a palindrome (34635155153643).

The spelling of 21322132031331 in words is "twenty-one trillion, three hundred twenty-two billion, one hundred thirty-two million, thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 27 789708593753 2369125781259 7107377343777 21322132031331