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131311026 = 232711175573
BaseRepresentation
bin1111101001110…
…10010110110010
3100011002021212100
413310322112302
5232103423101
621010241230
73153060660
oct764722662
9304067770
10131311026
1168137a10
1237b86216
1321287442
1413621c30
15b7dbe86
hex7d3a5b2

131311026 has 96 divisors (see below), whose sum is σ = 375643008. Its totient is φ = 32094720.

The previous prime is 131311001. The next prime is 131311027. The reversal of 131311026 is 620113131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (131311027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20776 + ... + 26348.

It is an arithmetic number, because the mean of its divisors is an integer number (3912948).

Almost surely, 2131311026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131311026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187821504).

131311026 is an abundant number, since it is smaller than the sum of its proper divisors (244331982).

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

131311026 is a wasteful number, since it uses less digits than its factorization.

131311026 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5616 (or 5613 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 131311026 is about 11459.1023208627. The cubic root of 131311026 is about 508.2769301449.

Adding to 131311026 its reverse (620113131), we get a palindrome (751424157).

The spelling of 131311026 in words is "one hundred thirty-one million, three hundred eleven thousand, twenty-six".

Divisors: 1 2 3 6 7 9 11 14 17 18 21 22 33 34 42 51 63 66 77 99 102 119 126 153 154 187 198 231 238 306 357 374 462 561 693 714 1071 1122 1309 1386 1683 2142 2618 3366 3927 5573 7854 11146 11781 16719 23562 33438 39011 50157 61303 78022 94741 100314 117033 122606 183909 189482 234066 284223 351099 367818 429121 551727 568446 663187 702198 852669 858242 1042151 1103454 1287363 1326374 1705338 1989561 2084302 2574726 3126453 3862089 3979122 5968683 6252906 7295057 7724178 9379359 11937366 14590114 18758718 21885171 43770342 65655513 131311026