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331220040221421 = 321397711213258413
BaseRepresentation
bin100101101001111100010110…
…0110101110000001011101101
31121102202022211002120011222200
41023103320230311300023231
5321403202120244041141
63132240215203332113
7126523600240016001
oct11323705465601355
91542668732504880
10331220040221421
119659a6a28a862a
12311947b5381039
13112a7bb9c49c40
145bb11c7aa2701
152845bd7886ab6
hex12d3e2cd702ed

331220040221421 has 48 divisors (see below), whose sum is σ = 515806526669616. Its totient is φ = 203600143853568.

The previous prime is 331220040221269. The next prime is 331220040221429. The reversal of 331220040221421 is 124122040022133.

331220040221421 is a `hidden beast` number, since 3 + 3 + 1 + 2 + 20 + 0 + 402 + 214 + 21 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10367041204521 + 320852999016900 = 3219789^2 + 17912370^2 .

It is not a de Polignac number, because 331220040221421 - 222 = 331220036027117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331220040221429) 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, 1281617611 + ... + 1281876023.

It is an arithmetic number, because the mean of its divisors is an integer number (10745969305617).

Almost surely, 2331220040221421 is an apocalyptic number.

It is an amenable number.

331220040221421 is a deficient number, since it is larger than the sum of its proper divisors (184586486448195).

331220040221421 is a wasteful number, since it uses less digits than its factorization.

331220040221421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270622 (or 270619 counting only the distinct ones).

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

Adding to 331220040221421 its reverse (124122040022133), we get a palindrome (455342080243554).

The spelling of 331220040221421 in words is "three hundred thirty-one trillion, two hundred twenty billion, forty million, two hundred twenty-one thousand, four hundred twenty-one".

Divisors: 1 3 9 13 39 117 977 2931 8793 11213 12701 33639 38103 100917 114309 145769 258413 437307 775239 1311921 2325717 3359369 10078107 10955101 30234321 32865303 98595909 142416313 252469501 427248939 757408503 1281746817 2272225509 2897584969 3282103513 8692754907 9846310539 26078264721 29538931617 37668604597 113005813791 339017441373 2830940514713 8492821544139 25478464632417 36802226691269 110406680073807 331220040221421