Search a number
-
+
13132020000 = 2535411101197
BaseRepresentation
bin11000011101011101…
…01011100100100000
31020220012012201212010
430032232223210200
5203343244120000
610011024432520
7643265220411
oct141656534440
936805181763
1013132020000
115629756aa0
122665a78740
131313846a48
148c80d3808
1551cd2dd50
hex30ebab920

13132020000 has 480 divisors, whose sum is σ = 47697781824. Its totient is φ = 3136000000.

The previous prime is 13132019963. The next prime is 13132020001. The reversal of 13132020000 is 2023131.

It is a happy number.

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 (12).

It is not an unprimeable number, because it can be changed into a prime (13132020001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 66659902 + ... + 66660098.

Almost surely, 213132020000 is an apocalyptic number.

13132020000 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 13132020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23848890912).

13132020000 is an abundant number, since it is smaller than the sum of its proper divisors (34565761824).

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

13132020000 is a wasteful number, since it uses less digits than its factorization.

13132020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13132020000 its reverse (2023131), we get a palindrome (13134043131).

The spelling of 13132020000 in words is "thirteen billion, one hundred thirty-two million, twenty thousand".