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200340132000 = 2535347715003
BaseRepresentation
bin1011101010010100110…
…0111101000010100000
3201011010001022011212220
42322211030331002200
511240244033211000
6232011320151040
720321421011331
oct2724514750240
9634101264786
10200340132000
1177a66866428
12329b1608480
1315b7992b908
1499a7340288
15532825e1a0
hex2ea533d0a0

200340132000 has 384 divisors, whose sum is σ = 679854809088. Its totient is φ = 51540608000.

The previous prime is 200340131989. The next prime is 200340132001. The reversal of 200340132000 is 231043002.

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

It is not an unprimeable number, because it can be changed into a prime (200340132001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40041499 + ... + 40046501.

It is an arithmetic number, because the mean of its divisors is an integer number (1770455232).

Almost surely, 2200340132000 is an apocalyptic number.

200340132000 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 200340132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339927404544).

200340132000 is an abundant number, since it is smaller than the sum of its proper divisors (479514677088).

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

200340132000 is a wasteful number, since it uses less digits than its factorization.

200340132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5149 (or 5131 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 200340132000 its reverse (231043002), we get a palindrome (200571175002).

The spelling of 200340132000 in words is "two hundred billion, three hundred forty million, one hundred thirty-two thousand".