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31431001 = 722332753
BaseRepresentation
bin111011111100…
…1100101011001
32012010212020011
41313321211121
531021243001
63041401521
7531105400
oct167714531
965125204
1031431001
1116818638
12a6392a1
136686434
144262637
152b5cd51
hex1df9959

31431001 has 12 divisors (see below), whose sum is σ = 36732852. Its totient is φ = 26815488.

The previous prime is 31430957. The next prime is 31431013. The reversal of 31431001 is 10013413.

It can be written as a sum of positive squares in 2 ways, for example, as 18835600 + 12595401 = 4340^2 + 3549^2 .

It is not a de Polignac number, because 31431001 - 27 = 31430873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31431031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10041 + ... + 12793.

It is an arithmetic number, because the mean of its divisors is an integer number (3061071).

Almost surely, 231431001 is an apocalyptic number.

It is an amenable number.

31431001 is a deficient number, since it is larger than the sum of its proper divisors (5301851).

31431001 is a wasteful number, since it uses less digits than its factorization.

31431001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000 (or 2993 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 31431001 is about 5606.3357908709. The cubic root of 31431001 is about 315.5872173967.

Adding to 31431001 its reverse (10013413), we get a palindrome (41444414).

The spelling of 31431001 in words is "thirty-one million, four hundred thirty-one thousand, one".

Divisors: 1 7 49 233 1631 2753 11417 19271 134897 641449 4490143 31431001