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131283999 = 32711389487
BaseRepresentation
bin1111101001100…
…11110000011111
3100011000220210100
413310303300133
5232102041444
621005512143
73152616120
oct764636037
9304026710
10131283999
1168119680
1237b72653
1321278052
1413616047
15b7d3e69
hex7d33c1f

131283999 has 48 divisors (see below), whose sum is σ = 237519360. Its totient is φ = 67884480.

The previous prime is 131283973. The next prime is 131284033. The reversal of 131283999 is 999382131.

It is a happy number.

It is not a de Polignac number, because 131283999 - 29 = 131283487 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131283959) 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 47 ways as a sum of consecutive naturals, for example, 269334 + ... + 269820.

It is an arithmetic number, because the mean of its divisors is an integer number (4948320).

Almost surely, 2131283999 is an apocalyptic number.

131283999 is a deficient number, since it is larger than the sum of its proper divisors (106235361).

131283999 is a wasteful number, since it uses less digits than its factorization.

131283999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 897 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 131283999 is about 11457.9229793187. The cubic root of 131283999 is about 508.2420558377.

The spelling of 131283999 in words is "one hundred thirty-one million, two hundred eighty-three thousand, nine hundred ninety-nine".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 389 487 693 1167 1461 2723 3409 3501 4279 4383 5357 8169 10227 12837 16071 24507 29953 30681 37499 38511 48213 89859 112497 189443 269577 337491 568329 1326101 1704987 2083873 3978303 6251619 11934909 14587111 18754857 43761333 131283999