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400013331 = 31321100937
BaseRepresentation
bin10111110101111…
…011100000010011
31000212200210010120
4113311323200103
51304400411311
6103405401323
712625025424
oct2765734023
91025623116
10400013331
11195884a33
12b1b69243
1364b476a3
143b1a964b
15251b7706
hex17d7b813

400013331 has 8 divisors (see below), whose sum is σ = 533760144. Its totient is φ = 266471040.

The previous prime is 400013321. The next prime is 400013357. The reversal of 400013331 is 133310004.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 400013331 - 29 = 400012819 is a prime.

It is a super-2 number, since 2×4000133312 = 320021329955431122, 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 400013331.

It is not an unprimeable number, because it can be changed into a prime (400013311) 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 7 ways as a sum of consecutive naturals, for example, 46506 + ... + 54431.

It is an arithmetic number, because the mean of its divisors is an integer number (66720018).

Almost surely, 2400013331 is an apocalyptic number.

400013331 is a deficient number, since it is larger than the sum of its proper divisors (133746813).

400013331 is a wasteful number, since it uses less digits than its factorization.

400013331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102261.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 400013331 is about 20000.3332722232. Note that the first 3 decimals coincide. The cubic root of 400013331 is about 736.8144849411.

Adding to 400013331 its reverse (133310004), we get a palindrome (533323335).

The spelling of 400013331 in words is "four hundred million, thirteen thousand, three hundred thirty-one".

Divisors: 1 3 1321 3963 100937 302811 133337777 400013331