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401159331 = 3319781987
BaseRepresentation
bin10111111010010…
…011010010100011
31000221212000011000
4113322103102203
51310144044311
6103450123043
712640540506
oct2772232243
91027760130
10401159331
11196497a41
12b2420483
13651591b1
143b3c713d
1525342056
hex17e934a3

401159331 has 16 divisors (see below), whose sum is σ = 625590400. Its totient is φ = 253363464.

The previous prime is 401159329. The next prime is 401159333. The reversal of 401159331 is 133951104.

401159331 is a `hidden beast` number, since 40 + 1 + 1 + 593 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (401159329) and next prime (401159333).

It is not a de Polignac number, because 401159331 - 21 = 401159329 is a prime.

It is a super-2 number, since 2×4011593312 = 321857617696735122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 401159295 and 401159304.

It is not an unprimeable number, because it can be changed into a prime (401159333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 390481 + ... + 391506.

It is an arithmetic number, because the mean of its divisors is an integer number (39099400).

Almost surely, 2401159331 is an apocalyptic number.

401159331 is a deficient number, since it is larger than the sum of its proper divisors (224431069).

401159331 is a wasteful number, since it uses less digits than its factorization.

401159331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782015 (or 782009 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 401159331 is about 20028.9623046228. The cubic root of 401159331 is about 737.5174484429.

The spelling of 401159331 in words is "four hundred one million, one hundred fifty-nine thousand, three hundred thirty-one".

Divisors: 1 3 9 19 27 57 171 513 781987 2345961 7037883 14857753 21113649 44573259 133719777 401159331