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13321023342 = 231132337159
BaseRepresentation
bin11000110011111111…
…01010111101101110
31021101100212002200220
430121333222331232
5204240140221332
610041455432210
7651051554514
oct143177527556
937340762626
1013321023342
115716409000
1226b9225666
131343a50943
149052524b4
1552e714d2c
hex319feaf6e

13321023342 has 64 divisors (see below), whose sum is σ = 29434129920. Its totient is φ = 4018787520.

The previous prime is 13321023311. The next prime is 13321023379. The reversal of 13321023342 is 24332012331.

It is a super-3 number, since 3×133210233423 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1857159 + ... + 1864317.

It is an arithmetic number, because the mean of its divisors is an integer number (459908280).

Almost surely, 213321023342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13321023342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14717064960).

13321023342 is an abundant number, since it is smaller than the sum of its proper divisors (16113106578).

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

13321023342 is a wasteful number, since it uses less digits than its factorization.

13321023342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7430 (or 7408 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13321023342 its reverse (24332012331), we get a palindrome (37653035673).

The spelling of 13321023342 in words is "thirteen billion, three hundred twenty-one million, twenty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 233 242 363 466 699 726 1331 1398 2563 2662 3993 5126 7159 7689 7986 14318 15378 21477 28193 42954 56386 78749 84579 157498 169158 236247 310123 472494 620246 866239 930369 1668047 1732478 1860738 2598717 3336094 5004141 5197434 9528629 10008282 18348517 19057258 28585887 36697034 55045551 57171774 110091102 201833687 403667374 605501061 1211002122 2220170557 4440341114 6660511671 13321023342