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131322807 = 327111771157
BaseRepresentation
bin1111101001111…
…01001110110111
3100011002220000200
413310331032313
5232104312212
621010411543
73153140220
oct764751667
9304086020
10131322807
1168145850
1237b90bb3
132128c905
1413626247
15b7e06dc
hex7d3d3b7

131322807 has 96 divisors (see below), whose sum is σ = 255550464. Its totient is φ = 62899200.

The previous prime is 131322803. The next prime is 131322809. The reversal of 131322807 is 708223131.

It is not a de Polignac number, because 131322807 - 22 = 131322803 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131322803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 836373 + ... + 836529.

It is an arithmetic number, because the mean of its divisors is an integer number (2661984).

Almost surely, 2131322807 is an apocalyptic number.

131322807 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

131322807 is a deficient number, since it is larger than the sum of its proper divisors (124227657).

131322807 is a wasteful number, since it uses less digits than its factorization.

131322807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 131322807 is about 11459.6163548349. The cubic root of 131322807 is about 508.2921302684.

Adding to 131322807 its reverse (708223131), we get a palindrome (839545938).

The spelling of 131322807 in words is "one hundred thirty-one million, three hundred twenty-two thousand, eight hundred seven".

Divisors: 1 3 7 9 11 17 21 33 51 63 71 77 99 119 153 157 187 213 231 357 471 497 561 639 693 781 1071 1099 1207 1309 1413 1491 1683 1727 2343 2669 3297 3621 3927 4473 5181 5467 7029 8007 8449 9891 10863 11147 11781 12089 13277 15543 16401 18683 24021 25347 29359 33441 36267 39831 49203 56049 76041 78029 88077 92939 100323 108801 119493 122617 168147 189499 205513 234087 264231 278817 367851 568497 616539 702261 836451 858319 1103553 1326493 1705491 1849617 2084489 2574957 3979479 6253467 7724871 11938437 14591423 18760401 43774269 131322807