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401331121 = 1727119559
BaseRepresentation
bin10111111010111…
…101001110110001
31000222011201210121
4113322331032301
51310220043441
6103453530241
712642154402
oct2772751661
91028151717
10401331121
111965a5014
12b24a3981
13651b9449
143b42d9a9
1525377dd1
hex17ebd3b1

401331121 has 12 divisors (see below), whose sum is σ = 432354240. Its totient is φ = 372384320.

The previous prime is 401331113. The next prime is 401331127. The reversal of 401331121 is 121133104.

It is not a de Polignac number, because 401331121 - 23 = 401331113 is a prime.

It is a super-2 number, since 2×4013311212 = 322133337366233282, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 401331095 and 401331104.

It is not an unprimeable number, because it can be changed into a prime (401331127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10740 + ... + 30298.

It is an arithmetic number, because the mean of its divisors is an integer number (36029520).

Almost surely, 2401331121 is an apocalyptic number.

It is an amenable number.

401331121 is a deficient number, since it is larger than the sum of its proper divisors (31023119).

401331121 is a wasteful number, since it uses less digits than its factorization.

401331121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19664 (or 19647 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 401331121 is about 20033.2503852969. The cubic root of 401331121 is about 737.6227100613.

Adding to 401331121 its reverse (121133104), we get a palindrome (522464225).

The spelling of 401331121 in words is "four hundred one million, three hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 17 71 289 1207 19559 20519 332503 1388689 5652551 23607713 401331121