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2200430133000 = 2332531122020597
BaseRepresentation
bin100000000001010011110…
…110110011111100001000
321210100200202111120000100
4200001103312303330020
5242022440103224000
64402510314205400
7314655465345111
oct40012366637410
97710622446010
102200430133000
11779219499300
122b655b723860
1312c665a154c8
1478703b3b208
153c3890b8a00
hex20053db3f08

2200430133000 has 288 divisors, whose sum is σ = 8175056624280. Its totient is φ = 533437344000.

The previous prime is 2200430132993. The next prime is 2200430133001. The reversal of 2200430133000 is 3310340022.

2200430133000 is a `hidden beast` number, since 2 + 200 + 430 + 1 + 3 + 30 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 233979233796 + 1966450899204 = 483714^2 + 1402302^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2200430133001) 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, 78702 + ... + 2099298.

Almost surely, 22200430133000 is an apocalyptic number.

2200430133000 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 2200430133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4087528312140).

2200430133000 is an abundant number, since it is smaller than the sum of its proper divisors (5974626491280).

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

2200430133000 is a wasteful number, since it uses less digits than its factorization.

2200430133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020646 (or 2020618 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2200430133000 its reverse (3310340022), we get a palindrome (2203740473022).

The spelling of 2200430133000 in words is "two trillion, two hundred billion, four hundred thirty million, one hundred thirty-three thousand".