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131331018 = 237131714149
BaseRepresentation
bin1111101001111…
…11001111001010
3100011010022021210
413310333033022
5232110043033
621010513550
73153203160
oct764771712
9304108253
10131331018
1168150a35
1237b958b6
1321293580
1413629230
15b7e2d63
hex7d3f3ca

131331018 has 64 divisors (see below), whose sum is σ = 342316800. Its totient is φ = 32596992.

The previous prime is 131331017. The next prime is 131331023. The reversal of 131331018 is 810133131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 131330985 and 131331003.

It is not an unprimeable number, because it can be changed into a prime (131331017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2208 + ... + 16356.

It is an arithmetic number, because the mean of its divisors is an integer number (5348700).

Almost surely, 2131331018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131331018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171158400).

131331018 is an abundant number, since it is smaller than the sum of its proper divisors (210985782).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131331018 is a wasteful number, since it uses less digits than its factorization.

131331018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14191.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 131331018 is about 11459.9746073017. The cubic root of 131331018 is about 508.3027237563.

Adding to 131331018 its reverse (810133131), we get a palindrome (941464149).

The spelling of 131331018 in words is "one hundred thirty-one million, three hundred thirty-one thousand, eighteen".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 78 91 102 119 182 221 238 273 357 442 546 663 714 1326 1547 3094 4641 9282 14149 28298 42447 84894 99043 183937 198086 240533 297129 367874 481066 551811 594258 721599 1103622 1287559 1443198 1683731 2575118 3126929 3367462 3862677 5051193 6253858 7725354 9380787 10102386 18761574 21888503 43777006 65665509 131331018