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1641000031 = 114122915889
BaseRepresentation
bin110000111001111…
…1010110001011111
311020100211102211221
41201303322301133
511330044000111
6430500154211
755444161436
oct14163726137
94210742757
101641000031
11772335680
12399698967
13201c8c848
14117d2811d
15990ec371
hex61cfac5f

1641000031 has 16 divisors (see below), whose sum is σ = 1841968800. Its totient is φ = 1448985600.

The previous prime is 1641000029. The next prime is 1641000047. The reversal of 1641000031 is 1300001461.

It is a cyclic number.

It is not a de Polignac number, because 1641000031 - 21 = 1641000029 is a prime.

It is a super-2 number, since 2×16410000312 = 5385762203484001922, which contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 1640999969 and 1641000014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1641000071) 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 15 ways as a sum of consecutive naturals, for example, 95335 + ... + 111223.

It is an arithmetic number, because the mean of its divisors is an integer number (115123050).

Almost surely, 21641000031 is an apocalyptic number.

1641000031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1641000031 is a deficient number, since it is larger than the sum of its proper divisors (200968769).

1641000031 is a wasteful number, since it uses less digits than its factorization.

1641000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16170.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1641000031 is about 40509.2585836868. The cubic root of 1641000031 is about 1179.5133564985.

Adding to 1641000031 its reverse (1300001461), we get a palindrome (2941001492).

The spelling of 1641000031 in words is "one billion, six hundred forty-one million, thirty-one", and thus it is an aban number.

Divisors: 1 11 41 229 451 2519 9389 15889 103279 174779 651449 3638581 7165939 40024391 149181821 1641000031