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401003001 = 3374151749
BaseRepresentation
bin10111111001101…
…101000111111001
31000221120001201000
4113321231013321
51310124044001
6103442515213
712636316650
oct2771550771
91027501630
10401003001
111963a0543
12b2365b09
1365102ca9
143b386197
1525310a86
hex17e6d1f9

401003001 has 32 divisors (see below), whose sum is σ = 695520000. Its totient is φ = 223551360.

The previous prime is 401002997. The next prime is 401003041. The reversal of 401003001 is 100300104.

It is not a de Polignac number, because 401003001 - 22 = 401002997 is a prime.

It is a super-2 number, since 2×4010030012 = 321606813622012002, which contains 22 as substring.

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 (401003041) 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 31 ways as a sum of consecutive naturals, for example, 18126 + ... + 33623.

It is an arithmetic number, because the mean of its divisors is an integer number (21735000).

Almost surely, 2401003001 is an apocalyptic number.

401003001 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

401003001 is a deficient number, since it is larger than the sum of its proper divisors (294516999).

401003001 is a wasteful number, since it uses less digits than its factorization.

401003001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51806 (or 51800 counting only the distinct ones).

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

The square root of 401003001 is about 20025.0593257548. The cubic root of 401003001 is about 737.4216335768.

Adding to 401003001 its reverse (100300104), we get a palindrome (501303105).

The spelling of 401003001 in words is "four hundred one million, three thousand, one".

Divisors: 1 3 7 9 21 27 41 63 123 189 287 369 861 1107 2583 7749 51749 155247 362243 465741 1086729 1397223 2121709 3260187 6365127 9780561 14851963 19095381 44555889 57286143 133667667 401003001