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1331201322 = 2321127124809
BaseRepresentation
bin100111101011000…
…1000010100101010
310102202220000220200
41033112020110222
510211241420242
6340032133030
744663011263
oct11726102452
93382800820
101331201322
11623479290
12311997176
13182a409b9
14c8b2396a
157bd0504c
hex4f58852a

1331201322 has 48 divisors (see below), whose sum is σ = 3158213760. Its totient is φ = 401889600.

The previous prime is 1331201309. The next prime is 1331201327. The reversal of 1331201322 is 2231021331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1331201295 and 1331201304.

It is not an unprimeable number, because it can be changed into a prime (1331201327) 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, 41254 + ... + 66062.

It is an arithmetic number, because the mean of its divisors is an integer number (65796120).

Almost surely, 21331201322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331201322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579106880).

1331201322 is an abundant number, since it is smaller than the sum of its proper divisors (1827012438).

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

1331201322 is a wasteful number, since it uses less digits than its factorization.

1331201322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25099 (or 25096 counting only the distinct ones).

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

The square root of 1331201322 is about 36485.6317198976. The cubic root of 1331201322 is about 1100.0554578100.

Adding to 1331201322 its reverse (2231021331), we get a palindrome (3562222653).

Subtracting 1331201322 from its reverse (2231021331), we obtain a square (899820009 = 299972).

The spelling of 1331201322 in words is "one billion, three hundred thirty-one million, two hundred one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 271 542 813 1626 2439 2981 4878 5962 8943 17886 24809 26829 49618 53658 74427 148854 223281 272899 446562 545798 818697 1637394 2456091 4912182 6723239 13446478 20169717 40339434 60509151 73955629 121018302 147911258 221866887 443733774 665600661 1331201322