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131313330 = 23255327529
BaseRepresentation
bin1111101001110…
…10111010110010
3100011002102000200
413310322322302
5232104011310
621010300030
73153100461
oct764727262
9304072020
10131313330
1168139715
1237b87616
13212884c5
14136229d8
15b7dc9c0
hex7d3aeb2

131313330 has 48 divisors (see below), whose sum is σ = 347869080. Its totient is φ = 34354944.

The previous prime is 131313323. The next prime is 131313341. The reversal of 131313330 is 33313131.

It can be written as a sum of positive squares in 4 ways, for example, as 108930969 + 22382361 = 10437^2 + 4731^2 .

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8995 + ... + 18534.

Almost surely, 2131313330 is an apocalyptic number.

131313330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131313330 is an abundant number, since it is smaller than the sum of its proper divisors (216555750).

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

131313330 is a wasteful number, since it uses less digits than its factorization.

131313330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27595 (or 27592 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 131313330 is about 11459.2028518567. The cubic root of 131313330 is about 508.2799028914.

Adding to 131313330 its reverse (33313131), we get a palindrome (164626461).

It can be divided in two parts, 13131 and 3330, that added together give a palindrome (16461).

The spelling of 131313330 in words is "one hundred thirty-one million, three hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1590 2385 4770 27529 55058 82587 137645 165174 247761 275290 412935 495522 825870 1238805 1459037 2477610 2918074 4377111 7295185 8754222 13131333 14590370 21885555 26262666 43771110 65656665 131313330