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131115348 = 22347134447
BaseRepresentation
bin1111101000010…
…10100101010100
3100010201100110000
413310022211110
5232031142343
621002131300
73151314330
oct764124524
9303640400
10131115348
11680139a1
1237ab0b30
1321219360
14135b07c0
15b79ded3
hex7d0a954

131115348 has 120 divisors (see below), whose sum is σ = 421955072. Its totient is φ = 34572096.

The previous prime is 131115343. The next prime is 131115359. The reversal of 131115348 is 843511131.

131115348 is a `hidden beast` number, since 1 + 311 + 1 + 5 + 348 = 666.

It is a super-2 number, since 2×1311153482 = 34382468962322208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131115343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27261 + ... + 31707.

Almost surely, 2131115348 is an apocalyptic number.

131115348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131115348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210977536).

131115348 is an abundant number, since it is smaller than the sum of its proper divisors (290839724).

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

131115348 is a wasteful number, since it uses less digits than its factorization.

131115348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4483 (or 4472 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 131115348 is about 11450.5610342900. The cubic root of 131115348 is about 508.0243287168.

Adding to 131115348 its reverse (843511131), we get a palindrome (974626479).

The spelling of 131115348 in words is "one hundred thirty-one million, one hundred fifteen thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 252 273 324 351 364 378 468 546 567 702 756 819 1053 1092 1134 1404 1638 2106 2268 2457 3276 4212 4447 4914 7371 8894 9828 13341 14742 17788 26682 29484 31129 40023 53364 57811 62258 80046 93387 115622 120069 124516 160092 173433 186774 231244 240138 280161 346866 360207 373548 404677 480276 520299 560322 693732 720414 809354 840483 1040598 1120644 1214031 1440828 1560897 1618708 1680966 2081196 2428062 2521449 3121794 3361932 3642093 4682691 4856124 5042898 6243588 7284186 9365382 10085796 10926279 14568372 18730764 21852558 32778837 43705116 65557674 131115348