Search a number
-
+
201122400440024 = 2379619937333771
BaseRepresentation
bin101101101110101101110101…
…001111000000111011011000
3222101010010001220002002012222
4231232231311033000323120
5202330142134003040044
61551430204422123212
760235420400534420
oct5556556517007330
9871103056062188
10201122400440024
11590a1592886498
121a682a50b80508
13882b9b7b52a9b
14379453a109480
15183b9c63bc8ee
hexb6eb753c0ed8

201122400440024 has 32 divisors (see below), whose sum is σ = 430981063968000. Its totient is φ = 86194416155040.

The previous prime is 201122400439969. The next prime is 201122400440029. The reversal of 201122400440024 is 420044004221102.

It is a happy number.

It is a super-2 number, since 2×2011224004400242 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201122400439975 and 201122400440002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201122400440029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13279742 + ... + 24054029.

It is an arithmetic number, because the mean of its divisors is an integer number (13468158249000).

Almost surely, 2201122400440024 is an apocalyptic number.

It is an amenable number.

201122400440024 is an abundant number, since it is smaller than the sum of its proper divisors (229858663527976).

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

201122400440024 is a wasteful number, since it uses less digits than its factorization.

201122400440024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37429983 (or 37429979 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 201122400440024 its reverse (420044004221102), we get a palindrome (621166404661126).

The spelling of 201122400440024 in words is "two hundred one trillion, one hundred twenty-two billion, four hundred million, four hundred forty thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 56 96199 192398 384796 673393 769592 1346786 2693572 5387144 37333771 74667542 149335084 261336397 298670168 522672794 1045345588 2090691176 3591471436429 7182942872858 14365885745716 25140300055003 28731771491432 50280600110006 100561200220012 201122400440024