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13312120302 = 23213509111767
BaseRepresentation
bin11000110010111011…
…01101010111101110
31021100202002210000200
430121131231113232
5204230400322202
610040540534330
7650613104235
oct143135552756
937322083020
1013312120302
115711388018
1226b62513a6
131341c54480
14903db5b1c
1552da56e1c
hex31976d5ee

13312120302 has 48 divisors (see below), whose sum is σ = 31122917280. Its totient is φ = 4087953216.

The previous prime is 13312120291. The next prime is 13312120303. The reversal of 13312120302 is 20302121331.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13312120303) 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, 63223 + ... + 174989.

It is an arithmetic number, because the mean of its divisors is an integer number (648394110).

Almost surely, 213312120302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13312120302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15561458640).

13312120302 is an abundant number, since it is smaller than the sum of its proper divisors (17810796978).

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

13312120302 is a wasteful number, since it uses less digits than its factorization.

13312120302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112297 (or 112294 counting only the distinct ones).

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

Adding to 13312120302 its reverse (20302121331), we get a palindrome (33614241633).

The spelling of 13312120302 in words is "thirteen billion, three hundred twelve million, one hundred twenty thousand, three hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 509 1018 1527 3054 4581 6617 9162 13234 19851 39702 59553 111767 119106 223534 335301 670602 1005903 1452971 2011806 2905942 4358913 8717826 13076739 26153478 56889403 113778806 170668209 341336418 512004627 739562239 1024009254 1479124478 2218686717 4437373434 6656060151 13312120302