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131346810 = 232571910973
BaseRepresentation
bin1111101010000…
…11000101111010
3100011011002221200
413311003011322
5232111044220
621011115030
73153300210
oct765030572
9304132850
10131346810
1168161891
1237ba2a76
132129a80a
1413630cb0
15b7e7890
hex7d4317a

131346810 has 96 divisors (see below), whose sum is σ = 410866560. Its totient is φ = 28439424.

The previous prime is 131346779. The next prime is 131346833. The reversal of 131346810 is 18643131.

It is a super-2 number, since 2×1313468102 = 34503968994352200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6484 + ... + 17456.

It is an arithmetic number, because the mean of its divisors is an integer number (4279860).

Almost surely, 2131346810 is an apocalyptic number.

131346810 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 131346810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205433280).

131346810 is an abundant number, since it is smaller than the sum of its proper divisors (279519750).

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

131346810 is a wasteful number, since it uses less digits than its factorization.

131346810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11012 (or 11009 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 131346810 is about 11460.6635933527. The cubic root of 131346810 is about 508.3230966913.

Adding to 131346810 its reverse (18643131), we get a palindrome (149989941).

The spelling of 131346810 in words is "one hundred thirty-one million, three hundred forty-six thousand, eight hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 30 35 38 42 45 57 63 70 90 95 105 114 126 133 171 190 210 266 285 315 342 399 570 630 665 798 855 1197 1330 1710 1995 2394 3990 5985 10973 11970 21946 32919 54865 65838 76811 98757 109730 153622 164595 197514 208487 230433 329190 384055 416974 460866 493785 625461 691299 768110 987570 1042435 1152165 1250922 1382598 1459409 1876383 2084870 2304330 2918818 3127305 3456495 3752766 4378227 6254610 6912990 7297045 8756454 9381915 13134681 14594090 18763830 21891135 26269362 43782270 65673405 131346810