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400133201 = 13197156241
BaseRepresentation
bin10111110110011…
…000110001010001
31000212220212120012
4113312120301101
51304413230301
6103412124305
712626035046
oct2766306121
91025825505
10400133201
11195956aa6
12b2006695
1364b8a110
143b1db1cd
15251dcebb
hex17d98c51

400133201 has 8 divisors (see below), whose sum is σ = 433102824. Its totient is φ = 367476480.

The previous prime is 400133191. The next prime is 400133219. The reversal of 400133201 is 102331004.

It can be written as a sum of positive squares in 4 ways, for example, as 6507601 + 393625600 = 2551^2 + 19840^2 .

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 400133201 - 210 = 400132177 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (400135201) 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, 75560 + ... + 80681.

It is an arithmetic number, because the mean of its divisors is an integer number (54137853).

Almost surely, 2400133201 is an apocalyptic number.

It is an amenable number.

400133201 is a deficient number, since it is larger than the sum of its proper divisors (32969623).

400133201 is a wasteful number, since it uses less digits than its factorization.

400133201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156451.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 400133201 is about 20003.3297478195. The cubic root of 400133201 is about 736.8880767647. Note that the first 3 decimals are identical.

Adding to 400133201 its reverse (102331004), we get a palindrome (502464205).

The spelling of 400133201 in words is "four hundred million, one hundred thirty-three thousand, two hundred one".

Divisors: 1 13 197 2561 156241 2031133 30779477 400133201