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131989 = 1113271
BaseRepresentation
bin100000001110010101
320201001111
4200032111
513210424
62455021
71056544
oct401625
9221044
10131989
1190190
1264471
1348100
143615b
1529194
hex20395

131989 has 12 divisors (see below), whose sum is σ = 158112. Its totient is φ = 109200.

The previous prime is 131969. The next prime is 132001. The reversal of 131989 is 989131.

131989 = T62 + T63 + ... + T100.

It is not a de Polignac number, because 131989 - 27 = 131861 is a prime.

It is a super-2 number, since 2×1319892 = 34842192242, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (1944) is a multiple of the sum of its prime factors (108).

It is a self number, because there is not a number n which added to its sum of digits gives 131989.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1824 + ... + 1894.

It is an arithmetic number, because the mean of its divisors is an integer number (13176).

2131989 is an apocalyptic number.

It is an amenable number.

131989 is a deficient number, since it is larger than the sum of its proper divisors (26123).

131989 is a wasteful number, since it uses less digits than its factorization.

131989 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 95 counting only the distinct ones).

The product of its digits is 1944, while the sum is 31.

The square root of 131989 is about 363.3029039245. The cubic root of 131989 is about 50.9150193119.

It can be divided in two parts, 13 and 1989, that added together give a palindrome (2002).

The spelling of 131989 in words is "one hundred thirty-one thousand, nine hundred eighty-nine".

Divisors: 1 11 13 71 143 169 781 923 1859 10153 11999 131989