Search a number
-
+
221231402243100 = 2232521317392539151
BaseRepresentation
bin110010010011010101110011…
…001001001101010000011100
31002000022111220210122220111100
4302103111303021031100130
5212444123402433234400
62102304145251153100
764412304245605554
oct6223256311152034
91060274823586440
10221231402243100
11645447900914a7
1220990164ba5790
13965a0548a8142
143c8b92ab4c164
151a89b0a8c4100
hexc9357324d41c

221231402243100 has 216 divisors, whose sum is σ = 699676740322560. Its totient is φ = 58465452240000.

The previous prime is 221231402243053. The next prime is 221231402243119. The reversal of 221231402243100 is 1342204132122.

221231402243100 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 3 + 1 + 402 + 243 + 10 + 0 = 666.

It is a super-2 number, since 2×2212314022431002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 85858525 + ... + 88397675.

It is an arithmetic number, because the mean of its divisors is an integer number (3239244168160).

Almost surely, 2221231402243100 is an apocalyptic number.

221231402243100 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 221231402243100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349838370161280).

221231402243100 is an abundant number, since it is smaller than the sum of its proper divisors (478445338079460).

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

221231402243100 is a wasteful number, since it uses less digits than its factorization.

221231402243100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2540041 (or 2540031 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 221231402243100 its reverse (1342204132122), we get a palindrome (222573606375222).

The spelling of 221231402243100 in words is "two hundred twenty-one trillion, two hundred thirty-one billion, four hundred two million, two hundred forty-three thousand, one hundred".