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2042310251200 = 265247193140717
BaseRepresentation
bin11101101110000011001…
…011010101001011000000
321020020120010001022022211
4131232003023111023000
5231430122411014300
64202120244311504
7300360231464062
oct35560313251300
97206503038284
102042310251200
1171815899183a
1228b9916a2594
1311a78713aa7b
1470bc3bd7732
15381d270d4ba
hex1db832d52c0

2042310251200 has 168 divisors, whose sum is σ = 5158911004992. Its totient is φ = 795394375680.

The previous prime is 2042310251167. The next prime is 2042310251203. The reversal of 2042310251200 is 21520132402.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2042310251203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 14443242 + ... + 14583958.

Almost surely, 22042310251200 is an apocalyptic number.

2042310251200 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 2042310251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579455502496).

2042310251200 is an abundant number, since it is smaller than the sum of its proper divisors (3116600753792).

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

2042310251200 is a wasteful number, since it uses less digits than its factorization.

2042310251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140979 (or 140964 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 2042310251200 its reverse (21520132402), we get a palindrome (2063830383602).

The spelling of 2042310251200 in words is "two trillion, forty-two billion, three hundred ten million, two hundred fifty-one thousand, two hundred".