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21331130321 = 536119133449
BaseRepresentation
bin10011110111011011…
…110011011111010001
32001001121021200202202
4103313123303133101
5322141232132241
613444400052545
71353414421214
oct236733633721
961047250682
1021331130321
119056959a26
124173904155
13201c3c2207
141064dcb77b
1584ca59d9b
hex4f76f37d1

21331130321 has 16 divisors (see below), whose sum is σ = 22107848400. Its totient is φ = 20568837120.

The previous prime is 21331130309. The next prime is 21331130323. The reversal of 21331130321 is 12303113312.

It can be written as a sum of positive squares in 8 ways, for example, as 2311686400 + 19019443921 = 48080^2 + 137911^2 .

It is a cyclic number.

It is not a de Polignac number, because 21331130321 - 26 = 21331130257 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21331130293 and 21331130302.

It is not an unprimeable number, because it can be changed into a prime (21331130323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6183005 + ... + 6186453.

It is an arithmetic number, because the mean of its divisors is an integer number (1381740525).

Almost surely, 221331130321 is an apocalyptic number.

It is an amenable number.

21331130321 is a deficient number, since it is larger than the sum of its proper divisors (776718079).

21331130321 is a wasteful number, since it uses less digits than its factorization.

21331130321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5476.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 21331130321 its reverse (12303113312), we get a palindrome (33634243633).

The spelling of 21331130321 in words is "twenty-one billion, three hundred thirty-one million, one hundred thirty thousand, three hundred twenty-one".

Divisors: 1 53 61 1913 3233 3449 101389 116693 182797 210389 6184729 6597937 11150617 349690661 402474157 21331130321