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401303121 = 3415361559
BaseRepresentation
bin10111111010110…
…110011001010001
31000222010022101120
4113322312121101
51310213144441
6103453152453
712642006642
oct2772663121
91028108346
10401303121
11196585a7a
12b248b729
13651a978b
143b4236c9
152536e966
hex17eb6651

401303121 has 16 divisors (see below), whose sum is σ = 558472320. Its totient is φ = 256081280.

The previous prime is 401303059. The next prime is 401303129. The reversal of 401303121 is 121303104.

It is a cyclic number.

It is not a de Polignac number, because 401303121 - 214 = 401286737 is a prime.

It is a super-2 number, since 2×4013031212 = 322088389848681282, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 401303121.

It is not an unprimeable number, because it can be changed into a prime (401303129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24261 + ... + 37298.

It is an arithmetic number, because the mean of its divisors is an integer number (34904520).

Almost surely, 2401303121 is an apocalyptic number.

401303121 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

401303121 is a deficient number, since it is larger than the sum of its proper divisors (157169199).

401303121 is a wasteful number, since it uses less digits than its factorization.

401303121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61656.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 401303121 is about 20032.5515349393. The cubic root of 401303121 is about 737.6055555513.

Adding to 401303121 its reverse (121303104), we get a palindrome (522606225).

The spelling of 401303121 in words is "four hundred one million, three hundred three thousand, one hundred twenty-one".

Divisors: 1 3 41 53 123 159 2173 6519 61559 184677 2523919 3262627 7571757 9787881 133767707 401303121