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331324340221 = 72296117212221
BaseRepresentation
bin1001101001001000111…
…10000011011111111101
31011200012120012101101001
410310210132003133331
520412023012341341
6412112554250301
732636345265400
oct4644436033775
91150176171331
10331324340221
11118571a52786
1254267a26991
13253226a1774
1412071405d37
1589426d4d31
hex4d247837fd

331324340221 has 48 divisors (see below), whose sum is σ = 405662629680. Its totient is φ = 269426304000.

The previous prime is 331324340183. The next prime is 331324340239. The reversal of 331324340221 is 122043423133.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1832268025 + 329492072196 = 42805^2 + 574014^2 .

It is not a de Polignac number, because 331324340221 - 211 = 331324338173 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 331324340221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331324340251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149176891 + ... + 149179111.

It is an arithmetic number, because the mean of its divisors is an integer number (8451304785).

Almost surely, 2331324340221 is an apocalyptic number.

It is an amenable number.

331324340221 is a deficient number, since it is larger than the sum of its proper divisors (74338289459).

331324340221 is a wasteful number, since it uses less digits than its factorization.

331324340221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4046 (or 4039 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 331324340221 its reverse (122043423133), we get a palindrome (453367763354).

The spelling of 331324340221 in words is "three hundred thirty-one billion, three hundred twenty-four million, three hundred forty thousand, two hundred twenty-one".

Divisors: 1 7 29 49 61 203 427 1421 1721 1769 2221 2989 12047 12383 15547 49909 64409 84329 86681 104981 108829 135481 349363 450863 734867 948367 2445541 3044449 3156041 3822341 3928949 5144069 6638569 21311143 26756387 27502643 110847889 149178001 187294709 192518501 233162801 775935223 1632139607 5431546561 6761721229 11424977249 47332048603 331324340221