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13231312304 = 2472313139209
BaseRepresentation
bin11000101001010010…
…11100110110110000
31021011010001022021212
430110221130312300
5204044203443204
610024532535252
7645612204350
oct142451346660
937133038255
1013231312304
11567a804851
122693181528
13132b2a03a2
148d737cb60
155268e3c6e
hex314a5cdb0

13231312304 has 80 divisors (see below), whose sum is σ = 30805885440. Its totient is φ = 5382474240.

The previous prime is 13231312271. The next prime is 13231312307. The reversal of 13231312304 is 40321313231.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 13231312304.

It is not an unprimeable number, because it can be changed into a prime (13231312307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317852 + ... + 357060.

It is an arithmetic number, because the mean of its divisors is an integer number (385073568).

Almost surely, 213231312304 is an apocalyptic number.

13231312304 is a gapful number since it is divisible by the number (14) 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 13231312304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15402942720).

13231312304 is an abundant number, since it is smaller than the sum of its proper divisors (17574573136).

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

13231312304 is a wasteful number, since it uses less digits than its factorization.

13231312304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39378 (or 39372 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 13231312304 its reverse (40321313231), we get a palindrome (53552625535).

The spelling of 13231312304 in words is "thirteen billion, two hundred thirty-one million, three hundred twelve thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 131 161 184 262 322 368 524 644 917 1048 1288 1834 2096 2576 3013 3668 6026 7336 12052 14672 21091 24104 39209 42182 48208 78418 84364 156836 168728 274463 313672 337456 548926 627344 901807 1097852 1803614 2195704 3607228 4391408 5136379 6312649 7214456 10272758 12625298 14428912 20545516 25250596 35954653 41091032 50501192 71909306 82182064 101002384 118136717 143818612 236273434 287637224 472546868 575274448 826957019 945093736 1653914038 1890187472 3307828076 6615656152 13231312304