Search a number
-
+
2132421314100 = 22352711367251533
BaseRepresentation
bin11111000001111110001…
…101110000011000110100
321112212011002220121002220
4133001332031300120310
5234414144324022400
64311342033202340
7310030250050140
oct37017615603064
97485132817086
102132421314100
1175239a270050
122a533b7003b0
13126117c7812c
14752d1766220
153a7086c77a0
hex1f07e370634

2132421314100 has 288 divisors, whose sum is σ = 7713215655936. Its totient is φ = 441891417600.

The previous prime is 2132421314099. The next prime is 2132421314161. The reversal of 2132421314100 is 14131242312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8351934 + ... + 8603466.

Almost surely, 22132421314100 is an apocalyptic number.

2132421314100 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 2132421314100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3856607827968).

2132421314100 is an abundant number, since it is smaller than the sum of its proper divisors (5580794341836).

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

2132421314100 is a wasteful number, since it uses less digits than its factorization.

2132421314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251935 (or 251928 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 2132421314100 its reverse (14131242312), we get a palindrome (2146552556412).

The spelling of 2132421314100 in words is "two trillion, one hundred thirty-two billion, four hundred twenty-one million, three hundred fourteen thousand, one hundred".