Search a number
-
+
131503869 = 32713915017
BaseRepresentation
bin1111101011010…
…01011011111101
3100011110002101200
413311221123331
5232131110434
621014330113
73154523130
oct765513375
9304402350
10131503869
1168259892
1238059939
1321324153
1413672217
15b829199
hex7d696fd

131503869 has 24 divisors (see below), whose sum is σ = 218662080. Its totient is φ = 74599488.

The previous prime is 131503859. The next prime is 131503871. The reversal of 131503869 is 968305131.

It is a happy number.

It is not a de Polignac number, because 131503869 - 25 = 131503837 is a prime.

It is a super-2 number, since 2×1315038692 = 34586535123938322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131503859) 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 23 ways as a sum of consecutive naturals, for example, 1249 + ... + 16265.

It is an arithmetic number, because the mean of its divisors is an integer number (9110920).

Almost surely, 2131503869 is an apocalyptic number.

It is an amenable number.

131503869 is a deficient number, since it is larger than the sum of its proper divisors (87158211).

131503869 is a wasteful number, since it uses less digits than its factorization.

131503869 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15169 (or 15166 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 131503869 is about 11467.5136363555. The cubic root of 131503869 is about 508.5256264586.

The spelling of 131503869 in words is "one hundred thirty-one million, five hundred three thousand, eight hundred sixty-nine".

Divisors: 1 3 7 9 21 63 139 417 973 1251 2919 8757 15017 45051 105119 135153 315357 946071 2087363 6262089 14611541 18786267 43834623 131503869