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201303214320 = 243513210945533
BaseRepresentation
bin1011101101111010011…
…0110100100011110000
3201020121011111211110110
42323132212310203300
511244232110324240
6232251042301320
720354324042445
oct2733646644360
9636534454413
10201303214320
117841046442a
1233020057840
1315ca1311200
149a591db9cc
155382a9bc80
hex2ede9b48f0

201303214320 has 240 divisors, whose sum is σ = 681949968480. Its totient is φ = 49095880704.

The previous prime is 201303214303. The next prime is 201303214337. The reversal of 201303214320 is 23412303102.

It is an interprime number because it is at equal distance from previous prime (201303214303) and next prime (201303214337).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4398274 + ... + 4443806.

It is an arithmetic number, because the mean of its divisors is an integer number (2841458202).

Almost surely, 2201303214320 is an apocalyptic number.

201303214320 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 201303214320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340974984240).

201303214320 is an abundant number, since it is smaller than the sum of its proper divisors (480646754160).

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

201303214320 is a wasteful number, since it uses less digits than its factorization.

201303214320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45684 (or 45665 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 201303214320 its reverse (23412303102), we get a palindrome (224715517422).

The spelling of 201303214320 in words is "two hundred one billion, three hundred three million, two hundred fourteen thousand, three hundred twenty".