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131010410314 = 27433184711701
BaseRepresentation
bin111101000000011010…
…1000011011101001010
3110112011100012102000001
41322000311003131022
54121302131112224
6140104011433214
712315363054010
oct1720065033512
9415140172001
10131010410314
1150619a63383
122148315580a
13c47b318264
1464ab7668b0
15361b8ee544
hex1e80d4374a

131010410314 has 32 divisors (see below), whose sum is σ = 225249083136. Its totient is φ = 55982534400.

The previous prime is 131010410309. The next prime is 131010410317. The reversal of 131010410314 is 413014010131.

It is a super-2 number, since 2×1310104103142 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131010410291 and 131010410300.

It is not an unprimeable number, because it can be changed into a prime (131010410317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11190664 + ... + 11202364.

It is an arithmetic number, because the mean of its divisors is an integer number (7039033848).

Almost surely, 2131010410314 is an apocalyptic number.

131010410314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

131010410314 is a deficient number, since it is larger than the sum of its proper divisors (94238672822).

131010410314 is a wasteful number, since it uses less digits than its factorization.

131010410314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13990.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 131010410314 its reverse (413014010131), we get a palindrome (544024420445).

The spelling of 131010410314 in words is "one hundred thirty-one billion, ten million, four hundred ten thousand, three hundred fourteen".

Divisors: 1 2 7 14 433 866 1847 3031 3694 6062 11701 12929 23402 25858 81907 163814 799751 1599502 5066533 5598257 10133066 11196514 21611747 35465731 43223494 70931462 151282229 302564458 9357886451 18715772902 65505205157 131010410314