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20040100200 = 233252163167409
BaseRepresentation
bin10010101010011110…
…111010100101101000
31220201121222120101100
4102222132322211220
5312020231201300
613112320521400
71306420020051
oct225236724550
956647876340
1020040100200
11855412898a
123a73480260
131b74aa7c73
14d81763728
157c453c700
hex4aa7ba968

20040100200 has 288 divisors, whose sum is σ = 68286254400. Its totient is φ = 5266529280.

The previous prime is 20040100189. The next prime is 20040100207. The reversal of 20040100200 is 200104002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (20040100207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48997596 + ... + 48998004.

It is an arithmetic number, because the mean of its divisors is an integer number (237105050).

Almost surely, 220040100200 is an apocalyptic number.

20040100200 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 20040100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34143127200).

20040100200 is an abundant number, since it is smaller than the sum of its proper divisors (48246154200).

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

20040100200 is a wasteful number, since it uses less digits than its factorization.

20040100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20040100200 its reverse (200104002), we get a palindrome (20240204202).

The spelling of 20040100200 in words is "twenty billion, forty million, one hundred thousand, two hundred".