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201045421200 = 243521368318869
BaseRepresentation
bin1011101100111100111…
…1011010110010010000
3201012221012102120210010
42323033033122302100
511243220111434300
6232205313034520
720345043612141
oct2731717326220
9635835376703
10201045421200
1178298998668
1232b69855a40
1315c5caa05c0
149a32c93ac8
15536a128a50
hex2ecf3dac90

201045421200 has 240 divisors, whose sum is σ = 694607417280. Its totient is φ = 49413027840.

The previous prime is 201045421193. The next prime is 201045421207. The reversal of 201045421200 is 2124540102.

201045421200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201045421193) and next prime (201045421207).

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

It is a super-2 number, since 2×2010454212002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201045421207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10645366 + ... + 10664234.

It is an arithmetic number, because the mean of its divisors is an integer number (2894197572).

Almost surely, 2201045421200 is an apocalyptic number.

201045421200 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 201045421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347303708640).

201045421200 is an abundant number, since it is smaller than the sum of its proper divisors (493561996080).

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

201045421200 is a wasteful number, since it uses less digits than its factorization.

201045421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19586 (or 19575 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 201045421200 its reverse (2124540102), we get a palindrome (203169961302).

The spelling of 201045421200 in words is "two hundred one billion, forty-five million, four hundred twenty-one thousand, two hundred".