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331201321 = 11241101661
BaseRepresentation
bin10011101111011…
…011101100101001
3212002012202210121
4103233123230221
51134241420241
652510443241
711131110343
oct2357335451
9762182717
10331201321
1115aa55500
1292b03521
1353803819
1431db6293
151e123ad1
hex13bdbb29

331201321 has 24 divisors (see below), whose sum is σ = 377189064. Its totient is φ = 290400000.

The previous prime is 331201313. The next prime is 331201337. The reversal of 331201321 is 123102133.

It can be written as a sum of positive squares in 4 ways, for example, as 93702400 + 237498921 = 9680^2 + 15411^2 .

It is not a de Polignac number, because 331201321 - 23 = 331201313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 331201295 and 331201304.

It is not an unprimeable number, because it can be changed into a prime (331201921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 500731 + ... + 501391.

It is an arithmetic number, because the mean of its divisors is an integer number (15716211).

Almost surely, 2331201321 is an apocalyptic number.

It is an amenable number.

331201321 is a deficient number, since it is larger than the sum of its proper divisors (45987743).

331201321 is a wasteful number, since it uses less digits than its factorization.

331201321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 331201321 is about 18198.9373590878. The cubic root of 331201321 is about 691.8798566579.

Adding to 331201321 its reverse (123102133), we get a palindrome (454303454).

The spelling of 331201321 in words is "three hundred thirty-one million, two hundred one thousand, three hundred twenty-one".

Divisors: 1 11 41 101 121 451 661 1111 4141 4961 7271 12221 27101 45551 66761 79981 298111 501061 734371 2737201 3279221 8078081 30109211 331201321