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13321300122 = 2331328167531
BaseRepresentation
bin11000110100000001…
…01110100010011010
31021101101101011101000
430122000232202122
5204240223100442
610041505405430
7651054116454
oct143200564232
937341334330
1013321300122
115716587a49
1226b9339876
131343b19910
149052c52d4
1552e76bd4c
hex31a02e89a

13321300122 has 64 divisors (see below), whose sum is σ = 31993960320. Its totient is φ = 4084214400.

The previous prime is 13321300019. The next prime is 13321300123. The reversal of 13321300122 is 22100312331.

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 = 13321300095 and 13321300104.

It is not an unprimeable number, because it can be changed into a prime (13321300123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163497 + ... + 231027.

It is an arithmetic number, because the mean of its divisors is an integer number (499905630).

Almost surely, 213321300122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13321300122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15996980160).

13321300122 is an abundant number, since it is smaller than the sum of its proper divisors (18672660198).

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

13321300122 is a wasteful number, since it uses less digits than its factorization.

13321300122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67836 (or 67830 counting only the distinct ones).

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

Adding to 13321300122 its reverse (22100312331), we get a palindrome (35421612453).

The spelling of 13321300122 in words is "thirteen billion, three hundred twenty-one million, three hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 281 351 562 702 843 1686 2529 3653 5058 7306 7587 10959 15174 21918 32877 65754 67531 98631 135062 197262 202593 405186 607779 877903 1215558 1755806 1823337 2633709 3646674 5267418 7901127 15802254 18976211 23703381 37952422 47406762 56928633 113857266 170785899 246690743 341571798 493381486 512357697 740072229 1024715394 1480144458 2220216687 4440433374 6660650061 13321300122