Search a number
-
+
2132000220000 = 2535477396869
BaseRepresentation
bin11111000001100101000…
…111011010001101100000
321112211001202112210121010
4133001211013122031200
5234412314024020000
64311232151500520
7310013644601430
oct37014507321540
97484052483533
102132000220000
117521a35a78a2
122a5242687740
1312607b95c421
14752918702c0
153a6d1748d50
hex1f0651da360

2132000220000 has 480 divisors, whose sum is σ = 8004422764800. Its totient is φ = 486584064000.

The previous prime is 2132000219963. The next prime is 2132000220001. The reversal of 2132000220000 is 220002312.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132000220001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 310376566 + ... + 310383434.

It is an arithmetic number, because the mean of its divisors is an integer number (16675880760).

Almost surely, 22132000220000 is an apocalyptic number.

2132000220000 is a gapful number since it is divisible by the number (20) 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 2132000220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4002211382400).

2132000220000 is an abundant number, since it is smaller than the sum of its proper divisors (5872422544800).

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

2132000220000 is an equidigital number, since it uses as much as digits as its factorization.

2132000220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7648 (or 7625 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 2132000220000 its reverse (220002312), we get a palindrome (2132220222312).

The spelling of 2132000220000 in words is "two trillion, one hundred thirty-two billion, two hundred twenty thousand".