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131106260 = 22559137811
BaseRepresentation
bin1111101000010…
…00010111010100
3100010200212222102
413310020113110
5232030400020
621002021232
73151245665
oct764102724
9303625872
10131106260
116800808a
1237aa7818
132121518c
14135ab36c
15b79b475
hex7d085d4

131106260 has 48 divisors (see below), whose sum is σ = 282381120. Its totient is φ = 51114240.

The previous prime is 131106247. The next prime is 131106299. The reversal of 131106260 is 62601131.

It is a super-2 number, since 2×1311062602 = 34377702822375200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 161255 + ... + 162065.

It is an arithmetic number, because the mean of its divisors is an integer number (5882940).

Almost surely, 2131106260 is an apocalyptic number.

131106260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131106260 is an abundant number, since it is smaller than the sum of its proper divisors (151274860).

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

131106260 is a wasteful number, since it uses less digits than its factorization.

131106260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 131106260 is about 11450.1641909625. The cubic root of 131106260 is about 508.0125908798.

Adding to 131106260 its reverse (62601131), we get a palindrome (193707391).

The spelling of 131106260 in words is "one hundred thirty-one million, one hundred six thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 59 118 137 236 274 295 548 590 685 811 1180 1370 1622 2740 3244 4055 8083 8110 16166 16220 32332 40415 47849 80830 95698 111107 161660 191396 222214 239245 444428 478490 555535 956980 1111070 2222140 6555313 13110626 26221252 32776565 65553130 131106260