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131052330 = 236517977
BaseRepresentation
bin1111100111110…
…11001100101010
3100010121011000000
413303323030222
5232022133310
621000523430
73150632523
oct763731452
9303534000
10131052330
1167a80612
1237a80576
13211c6776
141359584a
15b78a4c0
hex7cfb32a

131052330 has 56 divisors (see below), whose sum is σ = 353699172. Its totient is φ = 34945344.

The previous prime is 131052323. The next prime is 131052331. The reversal of 131052330 is 33250131.

It can be written as a sum of positive squares in 2 ways, for example, as 130439241 + 613089 = 11421^2 + 783^2 .

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 (131052331) 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 27 ways as a sum of consecutive naturals, for example, 1699 + ... + 16278.

Almost surely, 2131052330 is an apocalyptic number.

131052330 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 131052330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176849586).

131052330 is an abundant number, since it is smaller than the sum of its proper divisors (222646842).

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

131052330 is an equidigital number, since it uses as much as digits as its factorization.

131052330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18002 (or 17987 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 131052330 is about 11447.8089606702. The cubic root of 131052330 is about 507.9429250569.

The spelling of 131052330 in words is "one hundred thirty-one million, fifty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1215 1458 2430 3645 7290 17977 35954 53931 89885 107862 161793 179770 269655 323586 485379 539310 808965 970758 1456137 1617930 2426895 2912274 4368411 4853790 7280685 8736822 13105233 14561370 21842055 26210466 43684110 65526165 131052330