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2132312020200 = 23325237101359883
BaseRepresentation
bin11111000001110111101…
…100110101010011101000
321112211212111020220001200
4133001313230311103220
5234413433334121300
64311323130444200
7310024452056055
oct37016754652350
97484774226050
102132312020200
11752343600a0a
122a530ab93660
131260cb42c29b
14752c103602c
153a6edcd9200
hex1f077b354e8

2132312020200 has 576 divisors, whose sum is σ = 7456496860800. Its totient is φ = 545626368000.

The previous prime is 2132312020199. The next prime is 2132312020231. The reversal of 2132312020200 is 20202132312.

2132312020200 is a `hidden beast` number, since 2 + 1 + 323 + 120 + 20 + 200 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2414848959 + ... + 2414849841.

It is an arithmetic number, because the mean of its divisors is an integer number (12945307050).

Almost surely, 22132312020200 is an apocalyptic number.

2132312020200 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 2132312020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3728248430400).

2132312020200 is an abundant number, since it is smaller than the sum of its proper divisors (5324184840600).

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

2132312020200 is a wasteful number, since it uses less digits than its factorization.

2132312020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2132312020200 its reverse (20202132312), we get a palindrome (2152514152512).

The spelling of 2132312020200 in words is "two trillion, one hundred thirty-two billion, three hundred twelve million, twenty thousand, two hundred".