Search a number
-
+
201004429184 = 2713173231069
BaseRepresentation
bin1011101100110011001…
…1000010111110000000
3201012211100021222022022
42323030303002332000
511243124113213214
6232201250301012
720344035312656
oct2731463027600
9635740258268
10201004429184
117827783a769
1232b57b87768
1315c5444a380
149a2b662dd6
15536672cd8e
hex2ecccc2f80

201004429184 has 256 divisors, whose sum is σ = 478557072000. Its totient is φ = 83439747072.

The previous prime is 201004429159. The next prime is 201004429259. The reversal of 201004429184 is 481924400102.

It is a happy number.

It is a super-3 number, since 3×2010044291843 (a number of 35 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188029802 + ... + 188030870.

Almost surely, 2201004429184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201004429184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239278536000).

201004429184 is an abundant number, since it is smaller than the sum of its proper divisors (277552642816).

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

201004429184 is a wasteful number, since it uses less digits than its factorization.

201004429184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

Adding to 201004429184 its reverse (481924400102), we get a palindrome (682928829286).

The spelling of 201004429184 in words is "two hundred one billion, four million, four hundred twenty-nine thousand, one hundred eighty-four".