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401001003 = 3313287881
BaseRepresentation
bin10111111001101…
…100101000101011
31000221112221222000
4113321230220223
51310124013003
6103442502043
712636311064
oct2771545053
91027487860
10401001003
11196399a97
12b2364923
1365102100
143b38556b
15253101a3
hex17e6ca2b

401001003 has 24 divisors (see below), whose sum is σ = 643296240. Its totient is φ = 246767040.

The previous prime is 401001001. The next prime is 401001019. The reversal of 401001003 is 300100104.

It is not a de Polignac number, because 401001003 - 21 = 401001001 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 (401001001) 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 23 ways as a sum of consecutive naturals, for example, 39378 + ... + 48503.

It is an arithmetic number, because the mean of its divisors is an integer number (26804010).

Almost surely, 2401001003 is an apocalyptic number.

401001003 is a deficient number, since it is larger than the sum of its proper divisors (242295237).

401001003 is a wasteful number, since it uses less digits than its factorization.

401001003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87916 (or 87897 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 401001003 is about 20025.0094382000. The cubic root of 401001003 is about 737.4204088388.

Adding to 401001003 its reverse (300100104), we get a palindrome (701101107).

The spelling of 401001003 in words is "four hundred one million, one thousand, three".

Divisors: 1 3 9 13 27 39 117 169 351 507 1521 4563 87881 263643 790929 1142453 2372787 3427359 10282077 14851889 30846231 44555667 133667001 401001003