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200211132000 = 25353111979829
BaseRepresentation
bin1011101001110110000…
…0110110111001100000
3201010210001120022011010
42322131200312321200
511240013022211000
6231550431220520
720315263354125
oct2723540667140
9633701508133
10200211132000
11779aaa67860
1232976377740
1315b58ca3359
14999416074c
15531bc7bd50
hex2e9d836e60

200211132000 has 384 divisors, whose sum is σ = 753186470400. Its totient is φ = 45980928000.

The previous prime is 200211131983. The next prime is 200211132047. The reversal of 200211132000 is 231112002.

200211132000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2002111320003 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2468086 + ... + 2547914.

It is an arithmetic number, because the mean of its divisors is an integer number (1961423100).

Almost surely, 2200211132000 is an apocalyptic number.

200211132000 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 200211132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376593235200).

200211132000 is an abundant number, since it is smaller than the sum of its proper divisors (552975338400).

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

200211132000 is a wasteful number, since it uses less digits than its factorization.

200211132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79887 (or 79869 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 200211132000 its reverse (231112002), we get a palindrome (200442244002).

The spelling of 200211132000 in words is "two hundred billion, two hundred eleven million, one hundred thirty-two thousand".