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400011201 = 3258977537
BaseRepresentation
bin10111110101111…
…010111111000001
31000212200200012200
4113311322333001
51304400324301
6103405343413
712625016262
oct2765727701
91025620180
10400011201
11195883377
12b1b67b69
1364b46725
143b1a8969
15251b6c86
hex17d7afc1

400011201 has 12 divisors (see below), whose sum is σ = 577968612. Its totient is φ = 266593536.

The previous prime is 400011191. The next prime is 400011203. The reversal of 400011201 is 102110004.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 283046976 + 116964225 = 16824^2 + 10815^2 .

It is not a de Polignac number, because 400011201 - 25 = 400011169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (400011203) 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, 49305 + ... + 56841.

It is an arithmetic number, because the mean of its divisors is an integer number (48164051).

Almost surely, 2400011201 is an apocalyptic number.

It is an amenable number.

400011201 is a deficient number, since it is larger than the sum of its proper divisors (177957411).

400011201 is a wasteful number, since it uses less digits than its factorization.

400011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13440 (or 13437 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 400011201 is about 20000.2800230397. The cubic root of 400011201 is about 736.8131771367.

Adding to 400011201 its reverse (102110004), we get a palindrome (502121205).

The spelling of 400011201 in words is "four hundred million, eleven thousand, two hundred one".

Divisors: 1 3 9 5897 7537 17691 22611 53073 67833 44445689 133337067 400011201