Search a number
-
+
221224100031 = 32112234586869
BaseRepresentation
bin1100111000000111111…
…0111110000010111111
3210011000111011200022100
43032001332332002333
512111031332200111
6245343504120143
721661065552444
oct3160176760277
9704014150270
10221224100031
1185903267740
1236a5b606053
1317b274a894c
14a9c8bab9cb
155b4b8db756
hex3381fbe0bf

221224100031 has 12 divisors (see below), whose sum is σ = 348595551720. Its totient is φ = 134075212080.

The previous prime is 221224100017. The next prime is 221224100063. The reversal of 221224100031 is 130001422122.

It is a happy number.

221224100031 is a `hidden beast` number, since 221 + 2 + 2 + 410 + 0 + 0 + 31 = 666.

It is not a de Polignac number, because 221224100031 - 210 = 221224099007 is a prime.

It is a super-2 number, since 2×2212241000312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221224099977 and 221224100013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221224100011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1117293336 + ... + 1117293533.

It is an arithmetic number, because the mean of its divisors is an integer number (29049629310).

Almost surely, 2221224100031 is an apocalyptic number.

221224100031 is a deficient number, since it is larger than the sum of its proper divisors (127371451689).

221224100031 is a wasteful number, since it uses less digits than its factorization.

221224100031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234586886 (or 2234586883 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 221224100031 its reverse (130001422122), we get a palindrome (351225522153).

The spelling of 221224100031 in words is "two hundred twenty-one billion, two hundred twenty-four million, one hundred thousand, thirty-one".

Divisors: 1 3 9 11 33 99 2234586869 6703760607 20111281821 24580455559 73741366677 221224100031