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331234024401 = 3272751097561
BaseRepresentation
bin1001101000111110001…
…01100001101111010001
31011122222021020212100200
410310133011201233101
520411331402240101
6412100010405413
732634200516100
oct4643705415721
91148867225320
10331234024401
11118525a76105
1254241730869
1325309a6bb57
1412063416037
1589397e4986
hex4d1f161bd1

331234024401 has 18 divisors (see below), whose sum is σ = 556563293442. Its totient is φ = 189276585120.

The previous prime is 331234024333. The next prime is 331234024423. The reversal of 331234024401 is 104420432133.

331234024401 is a `hidden beast` number, since 3 + 3 + 1 + 234 + 0 + 24 + 401 = 666.

It can be written as a sum of positive squares in only one way, i.e., 331085160000 + 148864401 = 575400^2 + 12201^2 .

It is not a de Polignac number, because 331234024401 - 29 = 331234023889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (331234024441) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 375548340 + ... + 375549221.

It is an arithmetic number, because the mean of its divisors is an integer number (30920182969).

Almost surely, 2331234024401 is an apocalyptic number.

It is an amenable number.

331234024401 is a deficient number, since it is larger than the sum of its proper divisors (225329269041).

331234024401 is a wasteful number, since it uses less digits than its factorization.

331234024401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751097581 (or 751097571 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 331234024401 its reverse (104420432133), we get a palindrome (435654456534).

The spelling of 331234024401 in words is "three hundred thirty-one billion, two hundred thirty-four million, twenty-four thousand, four hundred one".

Divisors: 1 3 7 9 21 49 63 147 441 751097561 2253292683 5257682927 6759878049 15773048781 36803780489 47319146343 110411341467 331234024401