Search a number
-
+
131199219 = 32291513329
BaseRepresentation
bin1111101000111…
…11000011110011
3100010212121111100
413310133003303
5232041333334
621004015443
73152114004
oct764370363
9303777440
10131199219
1168070a08
1237b31583
1321248598
14135d31ab
15b7b8c99
hex7d1f0f3

131199219 has 24 divisors (see below), whose sum is σ = 197402400. Its totient is φ = 83865600.

The previous prime is 131199209. The next prime is 131199253. The reversal of 131199219 is 912991131.

It is not a de Polignac number, because 131199219 - 24 = 131199203 is a prime.

It is a super-2 number, since 2×1311992192 = 34426470132419922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131199209) 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 23 ways as a sum of consecutive naturals, for example, 37747 + ... + 41075.

It is an arithmetic number, because the mean of its divisors is an integer number (8225100).

Almost surely, 2131199219 is an apocalyptic number.

131199219 is a deficient number, since it is larger than the sum of its proper divisors (66203181).

131199219 is a wasteful number, since it uses less digits than its factorization.

131199219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3515 (or 3512 counting only the distinct ones).

The product of its digits is 4374, while the sum is 36.

The square root of 131199219 is about 11454.2227584415. Note that the first 3 decimals coincide. The cubic root of 131199219 is about 508.1326288439.

The spelling of 131199219 in words is "one hundred thirty-one million, one hundred ninety-nine thousand, two hundred nineteen".

Divisors: 1 3 9 29 87 151 261 453 1359 3329 4379 9987 13137 29961 39411 96541 289623 502679 868869 1508037 4524111 14577691 43733073 131199219