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131122332 = 2232112631259
BaseRepresentation
bin1111101000011…
…00010010011100
3100010201201000200
413310030102130
5232031403312
621002223500
73151343565
oct764142234
9303651020
10131122332
1168019170
1237ab4b90
132121c5a3
14135b316c
15b7a10dc
hex7d0c49c

131122332 has 72 divisors (see below), whose sum is σ = 363242880. Its totient is φ = 39551520.

The previous prime is 131122297. The next prime is 131122337. The reversal of 131122332 is 233221131.

131122332 is a `hidden beast` number, since 1 + 311 + 22 + 332 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131122337) 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 23 ways as a sum of consecutive naturals, for example, 103519 + ... + 104777.

It is an arithmetic number, because the mean of its divisors is an integer number (5045040).

Almost surely, 2131122332 is an apocalyptic number.

131122332 is a gapful number since it is divisible by the number (12) 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 131122332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181621440).

131122332 is an abundant number, since it is smaller than the sum of its proper divisors (232120548).

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

131122332 is a wasteful number, since it uses less digits than its factorization.

131122332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1538 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 131122332 is about 11450.8659934522. The cubic root of 131122332 is about 508.0333487107.

Adding to 131122332 its reverse (233221131), we get a palindrome (364343463).

The spelling of 131122332 in words is "one hundred thirty-one million, one hundred twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 263 396 526 789 1052 1259 1578 2367 2518 2893 3156 3777 4734 5036 5786 7554 8679 9468 11331 11572 13849 15108 17358 22662 26037 27698 34716 41547 45324 52074 55396 83094 104148 124641 166188 249282 331117 498564 662234 993351 1324468 1986702 2980053 3642287 3973404 5960106 7284574 10926861 11920212 14569148 21853722 32780583 43707444 65561166 131122332