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131342211 = 327111361239
BaseRepresentation
bin1111101010000…
…01111110000011
3100011010212122100
413311001332003
5232110422321
621011041443
73153250620
oct765017603
9304125570
10131342211
1168159390
1237ba0283
13212986b0
141362d347
15b7e6326
hex7d41f83

131342211 has 96 divisors (see below), whose sum is σ = 259983360. Its totient is φ = 61689600.

The previous prime is 131342207. The next prime is 131342227. The reversal of 131342211 is 112243131.

It is not a de Polignac number, because 131342211 - 22 = 131342207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131342011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 549430 + ... + 549668.

It is an arithmetic number, because the mean of its divisors is an integer number (2708160).

Almost surely, 2131342211 is an apocalyptic number.

131342211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131342211 is a deficient number, since it is larger than the sum of its proper divisors (128641149).

131342211 is a wasteful number, since it uses less digits than its factorization.

131342211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 334 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 131342211 is about 11460.4629487643. The cubic root of 131342211 is about 508.3171637844.

Adding to 131342211 its reverse (112243131), we get a palindrome (243585342).

The spelling of 131342211 in words is "one hundred thirty-one million, three hundred forty-two thousand, two hundred eleven".

Divisors: 1 3 7 9 11 13 21 33 39 61 63 77 91 99 117 143 183 231 239 273 427 429 549 671 693 717 793 819 1001 1281 1287 1673 2013 2151 2379 2629 3003 3107 3843 4697 5019 5551 6039 7137 7887 8723 9009 9321 14091 14579 15057 16653 18403 21749 23661 26169 27963 34177 42273 43737 49959 55209 61061 65247 78507 102053 102531 131211 160369 165627 183183 189527 195741 239239 306159 307593 481107 549549 568581 717717 918477 1122583 1326689 1443321 1705743 2084797 2153151 3367749 3980067 6254391 10103247 11940201 14593579 18763173 43780737 131342211