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131012343 = 33711294153
BaseRepresentation
bin1111100111100…
…01011011110111
3100010112010011000
413303301123313
5232014343333
621000014343
73150405120
oct763613367
9303463130
10131012343
1167a53570
1237a613b3
13211b14c7
1413585047
15b77d713
hex7cf16f7

131012343 has 128 divisors (see below), whose sum is σ = 261273600. Its totient is φ = 62899200.

The previous prime is 131012333. The next prime is 131012351. The reversal of 131012343 is 343210131.

131012343 is a `hidden beast` number, since 1 + 310 + 12 + 343 = 666.

It is not a de Polignac number, because 131012343 - 24 = 131012327 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131012333) 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 127 ways as a sum of consecutive naturals, for example, 2471905 + ... + 2471957.

It is an arithmetic number, because the mean of its divisors is an integer number (2041200).

Almost surely, 2131012343 is an apocalyptic number.

131012343 is a deficient number, since it is larger than the sum of its proper divisors (130261257).

131012343 is a wasteful number, since it uses less digits than its factorization.

131012343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 131012343 is about 11446.0623360176. The cubic root of 131012343 is about 507.8912582154.

Adding to 131012343 its reverse (343210131), we get a palindrome (474222474).

The spelling of 131012343 in words is "one hundred thirty-one million, twelve thousand, three hundred forty-three".

Divisors: 1 3 7 9 11 21 27 29 33 41 53 63 77 87 99 123 159 189 203 231 261 287 297 319 369 371 451 477 583 609 693 783 861 957 1107 1113 1189 1353 1431 1537 1749 1827 2079 2173 2233 2583 2871 3157 3339 3567 4059 4081 4611 5247 5481 6519 6699 7749 8323 8613 9471 10017 10701 10759 12177 12243 13079 13833 15211 15741 16907 19557 20097 23903 24969 28413 32103 32277 36729 39237 41499 45633 50721 58671 60291 63017 71709 74907 85239 91553 96831 110187 117711 118349 136899 152163 167321 189051 215127 224721 274659 290493 353133 355047 410697 441119 456489 501963 567153 645381 693187 823977 1065141 1323357 1505889 1701459 2079561 2471931 3195423 3970071 4517667 4852309 6238683 11910213 14556927 18716049 43670781 131012343