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1313022323233 = 17415093701021
BaseRepresentation
bin10011000110110110001…
…110101010101000100001
311122112010210011000102001
4103012312032222220201
5133003032203320413
62443105533124001
7163601626412335
oct23066616525041
94575123130361
101313022323233
114669389643a5
12192580629601
1396a81cb3b4a
144779cc857c5
152424c2d64dd
hex131b63aaa21

1313022323233 has 16 divisors (see below), whose sum is σ = 1426966042320. Its totient is φ = 1203275622400.

The previous prime is 1313022323219. The next prime is 1313022323243. The reversal of 1313022323233 is 3323232203131.

It can be written as a sum of positive squares in 8 ways, for example, as 2874246544 + 1310148076689 = 53612^2 + 1144617^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313022323233 - 217 = 1313022192161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1313022323243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1495738 + ... + 2205283.

It is an arithmetic number, because the mean of its divisors is an integer number (89185377645).

Almost surely, 21313022323233 is an apocalyptic number.

It is an amenable number.

1313022323233 is a deficient number, since it is larger than the sum of its proper divisors (113943719087).

1313022323233 is a wasteful number, since it uses less digits than its factorization.

1313022323233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3701588.

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 1313022323233 its reverse (3323232203131), we get a palindrome (4636254526364).

The spelling of 1313022323233 in words is "one trillion, three hundred thirteen billion, twenty-two million, three hundred twenty-three thousand, two hundred thirty-three".

Divisors: 1 17 41 509 697 8653 20869 354773 3701021 62917357 151741861 1883819689 2579611637 32024934713 77236607249 1313022323233