Search a number
-
+
201203021331 = 331317130725799
BaseRepresentation
bin1011101101100010100…
…0100111011000010011
3201020100011222111112000
42323120220213120103
511244030433140311
6232233103005043
720351666314554
oct2733050473023
9636304874460
10201203021331
1178369950a04
1232bb2599783
1315c86630910
149a49b9a32b
155378daa056
hex2ed8a27613

201203021331 has 64 divisors (see below), whose sum is σ = 340163712000. Its totient is φ = 116440201728.

The previous prime is 201203021317. The next prime is 201203021377. The reversal of 201203021331 is 133120302102.

201203021331 is a `hidden beast` number, since 20 + 12 + 0 + 302 + 1 + 331 = 666.

201203021331 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 201203021331 - 26 = 201203021267 is a prime.

It is a super-2 number, since 2×2012030213312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201203021311) 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 63 ways as a sum of consecutive naturals, for example, 7785970 + ... + 7811768.

It is an arithmetic number, because the mean of its divisors is an integer number (5315058000).

Almost surely, 2201203021331 is an apocalyptic number.

201203021331 is a deficient number, since it is larger than the sum of its proper divisors (138960690669).

201203021331 is a wasteful number, since it uses less digits than its factorization.

201203021331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27145 (or 27139 counting only the distinct ones).

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

Adding to 201203021331 its reverse (133120302102), we get a palindrome (334323323433).

The spelling of 201203021331 in words is "two hundred one billion, two hundred three million, twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 13 17 27 39 51 117 153 221 351 459 663 1307 1989 3921 5967 11763 16991 22219 25799 35289 50973 66657 77397 152919 199971 232191 288847 335387 438583 458757 599913 696573 866541 1006161 1315749 2599623 3018483 3947247 5701579 7798869 9055449 11841741 17104737 33719293 51314211 101157879 153942633 303473637 438350809 573227981 910420911 1315052427 1719683943 3945157281 5159051829 7451963753 11835471843 15477155487 22355891259 67067673777 201203021331