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1991001991 = 111011819901
BaseRepresentation
bin111011010101100…
…0100011110000111
312010202102101021111
41312223010132013
513034144030431
6525322025451
7100224144346
oct16653043607
95122371244
101991001991
119319612a0
12476948287
132596468b4
1414c5d5b5d
15b9bd67b1
hex76ac4787

1991001991 has 16 divisors (see below), whose sum is σ = 2205848736. Its totient is φ = 1782000000.

The previous prime is 1991001983. The next prime is 1991002007.

1991001991 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1991001991 - 23 = 1991001983 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1991001911) 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 15 ways as a sum of consecutive naturals, for example, 196141 + ... + 206041.

It is an arithmetic number, because the mean of its divisors is an integer number (137865546).

Almost surely, 21991001991 is an apocalyptic number.

1991001991 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1991001991 is a deficient number, since it is larger than the sum of its proper divisors (214846745).

1991001991 is a wasteful number, since it uses less digits than its factorization.

1991001991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10194.

The product of its (nonzero) digits is 6561, while the sum is 40.

The square root of 1991001991 is about 44620.6453449522. The cubic root of 1991001991 is about 1258.0287457319.

It can be divided in two parts, 199100 and 1991, that multiplied together give a square (396408100 = 199102).

The spelling of 1991001991 in words is "one billion, nine hundred ninety-one million, one thousand, nine hundred ninety-one".

Divisors: 1 11 101 181 1111 1991 9901 18281 108911 201091 1000001 1792081 11000011 19712891 181000181 1991001991