Search a number
-
+
233201204141100 = 2235213210934208261
BaseRepresentation
bin110101000001100001100010…
…111011110001110000101100
31010120200211001212200111001120
4311001201202323301300230
5221031232031230003400
62143551053151140540
7100056142143161436
oct6501414273616054
91116624055614046
10233201204141100
116833a091216308
12221a3b57514750
13a017a18b61500
144182dd9c75656
151be61725d8ca0
hexd41862ef1c2c

233201204141100 has 216 divisors, whose sum is σ = 731292143026032. Its totient is φ = 57350840601600.

The previous prime is 233201204141083. The next prime is 233201204141111. The reversal of 233201204141100 is 1141402102332.

It is a super-2 number, since 2×2332012041411002 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53310970 + ... + 57519230.

Almost surely, 2233201204141100 is an apocalyptic number.

233201204141100 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 233201204141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365646071513016).

233201204141100 is an abundant number, since it is smaller than the sum of its proper divisors (498090938884932).

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

233201204141100 is a wasteful number, since it uses less digits than its factorization.

233201204141100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4209397 (or 4209377 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 233201204141100 its reverse (1141402102332), we get a palindrome (234342606243432).

The spelling of 233201204141100 in words is "two hundred thirty-three trillion, two hundred one billion, two hundred four million, one hundred forty-one thousand, one hundred".