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13311420444324 = 22345361211229263
BaseRepresentation
bin1100000110110100111001…
…1111001010111010100100
31202010120002210000020110000
43001231032133022322210
53221043242113204244
644151103201301300
72542501256611062
oct301551637127244
952116083006400
1013311420444324
1142723838a3932
1215aba13934830
13757352860692
143403c1c01032
151813d9786169
hexc1b4e7caea4

13311420444324 has 480 divisors, whose sum is σ = 36503666115840. Its totient is φ = 4227014937600.

The previous prime is 13311420444317. The next prime is 13311420444331. The reversal of 13311420444324 is 42344402411331.

13311420444324 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 1 + 4 + 204 + 443 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (13311420444317) and next prime (13311420444331).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 159 ways as a sum of consecutive naturals, for example, 50613765817 + ... + 50613766079.

It is an arithmetic number, because the mean of its divisors is an integer number (76049304408).

Almost surely, 213311420444324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13311420444324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18251833057920).

13311420444324 is an abundant number, since it is smaller than the sum of its proper divisors (23192245671516).

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

13311420444324 is a wasteful number, since it uses less digits than its factorization.

13311420444324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 13311420444324 its reverse (42344402411331), we get a palindrome (55655822855655).

The spelling of 13311420444324 in words is "thirteen trillion, three hundred eleven billion, four hundred twenty million, four hundred forty-four thousand, three hundred twenty-four".