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2313202301200 = 2452717612932719
BaseRepresentation
bin100001101010010101100…
…110011111100100010000
322012010210001020021020201
4201222111212133210100
5300344414242114300
64530400453144544
7326060211065440
oct41522546374420
98163701207221
102313202301200
1181202943740a
1231439292b154
1313a19864650b
147dd6117c120
154028974e66a
hex21a9599f910

2313202301200 has 480 divisors, whose sum is σ = 6861100861440. Its totient is φ = 731433369600.

The previous prime is 2313202301177. The next prime is 2313202301209. The reversal of 2313202301200 is 21032023132.

It is not an unprimeable number, because it can be changed into a prime (2313202301209) 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 95 ways as a sum of consecutive naturals, for example, 850753441 + ... + 850756159.

It is an arithmetic number, because the mean of its divisors is an integer number (14293960128).

Almost surely, 22313202301200 is an apocalyptic number.

2313202301200 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 2313202301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3430550430720).

2313202301200 is an abundant number, since it is smaller than the sum of its proper divisors (4547898560240).

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

2313202301200 is a wasteful number, since it uses less digits than its factorization.

2313202301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3115 (or 3104 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 2313202301200 its reverse (21032023132), we get a palindrome (2334234324332).

The spelling of 2313202301200 in words is "two trillion, three hundred thirteen billion, two hundred two million, three hundred one thousand, two hundred".