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201010023000 = 233253174727953
BaseRepresentation
bin1011101100110100100…
…0011000101001011000
3201012211201211011120200
42323031020120221120
511243132031214000
6232202010222200
720344134001323
oct2731510305130
9635751734520
10201010023000
117827aa10456
1232b59a24960
1315c55658517
149a2c2bb7ba
155366e85500
hex2ecd218a58

201010023000 has 384 divisors, whose sum is σ = 734711627520. Its totient is φ = 49374412800.

The previous prime is 201010022989. The next prime is 201010023013. The reversal of 201010023000 is 320010102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7177024 + ... + 7204976.

It is an arithmetic number, because the mean of its divisors is an integer number (1913311530).

Almost surely, 2201010023000 is an apocalyptic number.

201010023000 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 201010023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367355813760).

201010023000 is an abundant number, since it is smaller than the sum of its proper divisors (533701604520).

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

201010023000 is a wasteful number, since it uses less digits than its factorization.

201010023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28044 (or 28027 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 201010023000 its reverse (320010102), we get a palindrome (201330033102).

The spelling of 201010023000 in words is "two hundred one billion, ten million, twenty-three thousand".