Search a number
-
+
221001302331 = 32421571102149
BaseRepresentation
bin1100110111010010110…
…1000100000100111011
3210010102221221101022200
43031310231010010323
512110102313133311
6245305424521243
721652422034455
oct3156455040473
9703387841280
10221001302331
11857a9523507
12369b8a80223
1317ac029b9a4
14a9a73732d5
155b3707c556
hex3374b4413b

221001302331 has 24 divisors (see below), whose sum is σ = 320545882800. Its totient is φ = 146725387200.

The previous prime is 221001302321. The next prime is 221001302351. The reversal of 221001302331 is 133203100122.

221001302331 is a `hidden beast` number, since 22 + 10 + 0 + 1 + 302 + 331 = 666.

221001302331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221001302331 - 233 = 212411367739 is a prime.

It is a super-2 number, since 2×2210013023312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221001302311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2112445 + ... + 2214593.

It is an arithmetic number, because the mean of its divisors is an integer number (13356078450).

Almost surely, 2221001302331 is an apocalyptic number.

221001302331 is a deficient number, since it is larger than the sum of its proper divisors (99544580469).

221001302331 is a wasteful number, since it uses less digits than its factorization.

221001302331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103147 (or 103144 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 221001302331 its reverse (133203100122), we get a palindrome (354204402453).

The spelling of 221001302331 in words is "two hundred twenty-one billion, one million, three hundred two thousand, three hundred thirty-one".

Divisors: 1 3 9 421 571 1263 1713 3789 5139 102149 240391 306447 721173 919341 2163519 43004729 58327079 129014187 174981237 387042561 524943711 24555700259 73667100777 221001302331