Search a number
-
+
131332020000 = 2535441197271
BaseRepresentation
bin111101001001111111…
…1111001011100100000
3110112222202100212112220
41322103333321130200
54122431444120000
6140155540551040
712326346515406
oct1722377713440
9415882325486
10131332020000
1150774557505
12215529b2480
13c4ccb4104c
1464dc363476
153639c7b1a0
hex1e93ff9720

131332020000 has 480 divisors, whose sum is σ = 445179297024. Its totient is φ = 33868800000.

The previous prime is 131332019999. The next prime is 131332020011. The reversal of 131332020000 is 20233131.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 484619865 + ... + 484620135.

Almost surely, 2131332020000 is an apocalyptic number.

131332020000 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 131332020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222589648512).

131332020000 is an abundant number, since it is smaller than the sum of its proper divisors (313847277024).

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

131332020000 is a wasteful number, since it uses less digits than its factorization.

131332020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 131332020000 its reverse (20233131), we get a palindrome (131352253131).

The spelling of 131332020000 in words is "one hundred thirty-one billion, three hundred thirty-two million, twenty thousand".