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201112023000 = 233537217233499
BaseRepresentation
bin1011101101001100110…
…1011110111111011000
3201020002211202022021110
42323103031132333120
511243334134214000
6232220052340320
720346512663400
oct2732315367730
9636084668243
10201112023000
1178322548579
1232b880146a0
1315c7081c455
149a3ba6d800
155370dd2850
hex2ed335efd8

201112023000 has 768 divisors, whose sum is σ = 806682240000. Its totient is φ = 41371545600.

The previous prime is 201112022981. The next prime is 201112023041. The reversal of 201112023000 is 320211102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 57475251 + ... + 57478749.

It is an arithmetic number, because the mean of its divisors is an integer number (1050367500).

Almost surely, 2201112023000 is an apocalyptic number.

201112023000 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 201112023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403341120000).

201112023000 is an abundant number, since it is smaller than the sum of its proper divisors (605570217000).

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

201112023000 is a wasteful number, since it uses less digits than its factorization.

201112023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3577 (or 3556 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 201112023000 its reverse (320211102), we get a palindrome (201432234102).

The spelling of 201112023000 in words is "two hundred one billion, one hundred twelve million, twenty-three thousand".