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200302100130000 = 24354112920930209
BaseRepresentation
bin101101100010110001110111…
…100001101010100011010000
3222021012200201202022202002010
4231202301313201222203100
5202223222200113130000
61550001303043422520
760122230524125151
oct5542616741524320
9867180652282063
10200302100130000
1158905709727380
121a56ba80084a40
13879c53a22285b
14376695da47928
1518254b5cddd50
hexb62c7786a8d0

200302100130000 has 400 divisors, whose sum is σ = 729707492606400. Its totient is φ = 46883665920000.

The previous prime is 200302100129983. The next prime is 200302100130007. The reversal of 200302100130000 is 31001203002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200302100130007) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 895105 + ... + 20035104.

It is an arithmetic number, because the mean of its divisors is an integer number (1824268731516).

Almost surely, 2200302100130000 is an apocalyptic number.

200302100130000 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 200302100130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364853746303200).

200302100130000 is an abundant number, since it is smaller than the sum of its proper divisors (529405392476400).

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

200302100130000 is a wasteful number, since it uses less digits than its factorization.

200302100130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20930280 (or 20930259 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 200302100130000 its reverse (31001203002), we get a palindrome (200333101333002).

The spelling of 200302100130000 in words is "two hundred trillion, three hundred two billion, one hundred million, one hundred thirty thousand".