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13531202000 = 245315743093
BaseRepresentation
bin11001001101000010…
…11100000111010000
31021221000100021121122
430212201130013100
5210202441431000
610114404341412
7656213214341
oct144641340720
937830307548
1013531202000
115814013378
1227576a4868
13137845cc04
149251240c8
15542dd0085
hex32685c1d0

13531202000 has 80 divisors (see below), whose sum is σ = 32927608272. Its totient is φ = 5377881600.

The previous prime is 13531201951. The next prime is 13531202029. The reversal of 13531202000 is 20213531.

It can be written as a sum of positive squares in 8 ways, for example, as 7113910336 + 6417291664 = 84344^2 + 80108^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 13531202000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292454 + ... + 335546.

Almost surely, 213531202000 is an apocalyptic number.

13531202000 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 13531202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16463804136).

13531202000 is an abundant number, since it is smaller than the sum of its proper divisors (19396406272).

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

13531202000 is a wasteful number, since it uses less digits than its factorization.

13531202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43273 (or 43257 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

Adding to 13531202000 its reverse (20213531), we get a palindrome (13551415531).

The spelling of 13531202000 in words is "thirteen billion, five hundred thirty-one million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 157 200 250 314 400 500 628 785 1000 1256 1570 2000 2512 3140 3925 6280 7850 12560 15700 19625 31400 39250 43093 62800 78500 86186 157000 172372 215465 314000 344744 430930 689488 861860 1077325 1723720 2154650 3447440 4309300 5386625 6765601 8618600 10773250 13531202 17237200 21546500 27062404 33828005 43093000 54124808 67656010 86186000 108249616 135312020 169140025 270624040 338280050 541248080 676560100 845700125 1353120200 1691400250 2706240400 3382800500 6765601000 13531202000