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201303223000 = 23531125233181
BaseRepresentation
bin1011101101111010011…
…0110110101011011000
3201020121011112021100221
42323132212312223120
511244232111114000
6232251042405424
720354324106655
oct2733646665330
9636534467327
10201303223000
117841046aa00
1233020060874
1315ca1315149
149a59200c2c
155382a9e61a
hex2ede9b6ad8

201303223000 has 192 divisors, whose sum is σ = 518918268960. Its totient is φ = 73038240000.

The previous prime is 201303222997. The next prime is 201303223061. The reversal of 201303223000 is 322303102.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 63281410 + ... + 63284590.

Almost surely, 2201303223000 is an apocalyptic number.

201303223000 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 201303223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259459134480).

201303223000 is an abundant number, since it is smaller than the sum of its proper divisors (317615045960).

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

201303223000 is a wasteful number, since it uses less digits than its factorization.

201303223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3747 (or 3722 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 201303223000 its reverse (322303102), we get a palindrome (201625526102).

The spelling of 201303223000 in words is "two hundred one billion, three hundred three million, two hundred twenty-three thousand".