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131323032 = 2335431571
BaseRepresentation
bin1111101001111…
…01010010011000
3100011002220100000
413310331102120
5232104314112
621010413000
73153140661
oct764752230
9304086300
10131323032
1168145a35
1237b91160
132128ca49
1413626368
15b7e07dc
hex7d3d498

131323032 has 96 divisors (see below), whose sum is σ = 377657280. Its totient is φ = 42729120.

The previous prime is 131323013. The next prime is 131323051. The reversal of 131323032 is 230323131.

It is an interprime number because it is at equal distance from previous prime (131323013) and next prime (131323051).

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

It is a junction number, because it is equal to n+sod(n) for n = 131322996 and 131323014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82807 + ... + 84377.

It is an arithmetic number, because the mean of its divisors is an integer number (3933930).

Almost surely, 2131323032 is an apocalyptic number.

131323032 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 131323032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188828640).

131323032 is an abundant number, since it is smaller than the sum of its proper divisors (246334248).

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

131323032 is a wasteful number, since it uses less digits than its factorization.

131323032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 131323032 is about 11459.6261719133. The cubic root of 131323032 is about 508.2924205599.

Adding to 131323032 its reverse (230323131), we get a palindrome (361646163).

Subtracting 131323032 from its reverse (230323131), we obtain a palindrome (99000099).

The spelling of 131323032 in words is "one hundred thirty-one million, three hundred twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 81 86 108 129 162 172 216 243 258 324 344 387 486 516 648 774 972 1032 1161 1548 1571 1944 2322 3096 3142 3483 4644 4713 6284 6966 9288 9426 10449 12568 13932 14139 18852 20898 27864 28278 37704 41796 42417 56556 67553 83592 84834 113112 127251 135106 169668 202659 254502 270212 339336 381753 405318 509004 540424 607977 763506 810636 1018008 1215954 1527012 1621272 1823931 2431908 3054024 3647862 4863816 5471793 7295724 10943586 14591448 16415379 21887172 32830758 43774344 65661516 131323032