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131323410 = 23354111863
BaseRepresentation
bin1111101001111…
…01011000010010
3100011002220212000
413310331120102
5232104322120
621010414430
73153142041
oct764753022
9304086760
10131323410
1168146249
1237b91416
132128cc7a
1413626558
15b7e0990
hex7d3d612

131323410 has 64 divisors (see below), whose sum is σ = 358767360. Its totient is φ = 34162560.

The previous prime is 131323403. The next prime is 131323411. The reversal of 131323410 is 14323131.

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 (131323411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5139 + ... + 17001.

It is an arithmetic number, because the mean of its divisors is an integer number (5605740).

Almost surely, 2131323410 is an apocalyptic number.

131323410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131323410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179383680).

131323410 is an abundant number, since it is smaller than the sum of its proper divisors (227443950).

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

131323410 is a wasteful number, since it uses less digits than its factorization.

131323410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11920 (or 11914 counting only the distinct ones).

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

The square root of 131323410 is about 11459.6426645860. The cubic root of 131323410 is about 508.2929082488.

Adding to 131323410 its reverse (14323131), we get a palindrome (145646541).

The spelling of 131323410 in words is "one hundred thirty-one million, three hundred twenty-three thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 82 90 123 135 205 246 270 369 410 615 738 1107 1230 1845 2214 3690 5535 11070 11863 23726 35589 59315 71178 106767 118630 177945 213534 320301 355890 486383 533835 640602 972766 1067670 1459149 1601505 2431915 2918298 3203010 4377447 4863830 7295745 8754894 13132341 14591490 21887235 26264682 43774470 65661705 131323410