Search a number
-
+
13531203000 = 2332537261503
BaseRepresentation
bin11001001101000010…
…11100010110111000
31021221000100022222200
430212201130112320
5210202441444000
610114404350200
7656213220300
oct144641342670
937830308880
1013531203000
1158140140a7
1227576a5360
1313784604c3
14925124600
15542dd0500
hex32685c5b8

13531203000 has 576 divisors, whose sum is σ = 54182157120. Its totient is φ = 3036096000.

The previous prime is 13531202969. The next prime is 13531203013. The reversal of 13531203000 is 30213531.

13531203000 is a `hidden beast` number, since 1 + 353 + 12 + 0 + 300 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26900749 + ... + 26901251.

It is an arithmetic number, because the mean of its divisors is an integer number (94066245).

Almost surely, 213531203000 is an apocalyptic number.

13531203000 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 13531203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27091078560).

13531203000 is an abundant number, since it is smaller than the sum of its proper divisors (40650954120).

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

13531203000 is a wasteful number, since it uses less digits than its factorization.

13531203000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

Adding to 13531203000 its reverse (30213531), we get a palindrome (13561416531).

The spelling of 13531203000 in words is "thirteen billion, five hundred thirty-one million, two hundred three thousand".