Search a number
-
+
13023132331320 = 233252312971212677
BaseRepresentation
bin1011110110000010111100…
…1011010010110100111000
31201002222222111001201022100
42331200233023102310320
53201332333334100240
643410424442423400
72512614234231516
oct275405713226470
951088874051270
1013023132331320
114171096763691
121563b78801b60
137360cb29b227
1433047431d4b6
15178b653d5e30
hexbd82f2d2d38

13023132331320 has 192 divisors, whose sum is σ = 44199493715520. Its totient is φ = 3319278538752.

The previous prime is 13023132331309. The next prime is 13023132331381. The reversal of 13023132331320 is 2313323132031.

13023132331320 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 3 + 1 + 3 + 2 + 331 + 320 = 666.

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 47 ways as a sum of consecutive naturals, for example, 10132822 + ... + 11345498.

It is an arithmetic number, because the mean of its divisors is an integer number (230205696435).

Almost surely, 213023132331320 is an apocalyptic number.

13023132331320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13023132331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22099746857760).

13023132331320 is an abundant number, since it is smaller than the sum of its proper divisors (31176361384200).

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

13023132331320 is a wasteful number, since it uses less digits than its factorization.

13023132331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214014 (or 1214007 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 13023132331320 its reverse (2313323132031), we get a palindrome (15336455463351).

The spelling of 13023132331320 in words is "thirteen trillion, twenty-three billion, one hundred thirty-two million, three hundred thirty-one thousand, three hundred twenty".