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331441334222401 = 13121550920975153
BaseRepresentation
bin100101101011100011011001…
…0111111010111111001000001
31121110112111000110021012101001
41023113012302333113321001
5321420313323030104101
63132530014050012001
7126545563145003344
oct11327066277277101
91543474013235331
10331441334222401
1196675531568947
123120b674277001
13112c2a25a5b2a0
145bbbbbbc6845b
15284b83a47e901
hex12d71b2fd7e41

331441334222401 has 8 divisors (see below), whose sum is σ = 356937132139560. Its totient is φ = 305945580686592.

The previous prime is 331441334222399. The next prime is 331441334222407. The reversal of 331441334222401 is 104222433144133.

It can be written as a sum of positive squares in 4 ways, for example, as 123458787662401 + 207982546560000 = 11111201^2 + 14421600^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 331441334222401 - 21 = 331441334222399 is a prime.

It is a super-2 number, since 2×3314413342224012 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331441334222407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5314041 + ... + 26289193.

It is an arithmetic number, because the mean of its divisors is an integer number (44617141517445).

Almost surely, 2331441334222401 is an apocalyptic number.

It is an amenable number.

331441334222401 is a deficient number, since it is larger than the sum of its proper divisors (25495797917159).

331441334222401 is a wasteful number, since it uses less digits than its factorization.

331441334222401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22190675.

The product of its (nonzero) digits is 165888, while the sum is 37.

Adding to 331441334222401 its reverse (104222433144133), we get a palindrome (435663767366534).

The spelling of 331441334222401 in words is "three hundred thirty-one trillion, four hundred forty-one billion, three hundred thirty-four million, two hundred twenty-two thousand, four hundred one".

Divisors: 1 13 1215509 15801617 20975153 272676989 25495487247877 331441334222401