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200123230201020 = 22325723611129100271
BaseRepresentation
bin101101100000001011010010…
…000011000010010010111100
3222020120121000222222212211200
4231200023102003002102330
5202212304333412413040
61545343202012215500
760103266126613560
oct5540132203022274
9866517028885750
10200123230201020
1158846870279295
121a541280a6a590
13878870275a3a9
14375c031d776a0
1518209e790b630
hexb602d20c24bc

200123230201020 has 576 divisors, whose sum is σ = 736450704138240. Its totient is φ = 42997829529600.

The previous prime is 200123230201009. The next prime is 200123230201033. The reversal of 200123230201020 is 20102032321002.

200123230201020 is a `hidden beast` number, since 200 + 1 + 232 + 30 + 201 + 0 + 2 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 200123230200984 and 200123230201002.

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 191 ways as a sum of consecutive naturals, for example, 1995773485 + ... + 1995873755.

It is an arithmetic number, because the mean of its divisors is an integer number (1278560250240).

Almost surely, 2200123230201020 is an apocalyptic number.

200123230201020 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 200123230201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368225352069120).

200123230201020 is an abundant number, since it is smaller than the sum of its proper divisors (536327473937220).

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

200123230201020 is a wasteful number, since it uses less digits than its factorization.

200123230201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101506 (or 101501 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 200123230201020 its reverse (20102032321002), we get a palindrome (220225262522022).

The spelling of 200123230201020 in words is "two hundred trillion, one hundred twenty-three billion, two hundred thirty million, two hundred one thousand, twenty".