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131350342240143 = 32134746575129101
BaseRepresentation
bin11101110111011001100010…
…011111011000011110001111
3122020001222012012011111211200
4131313121202133120132033
5114204021000103141033
61143205303022320543
736444514633313445
oct3567314237303617
9566058165144750
10131350342240143
1138941404997564
12128946aba29153
13583a3902b94b0
1424615676c4b95
15102bacce18013
hex7776627d878f

131350342240143 has 48 divisors (see below), whose sum is σ = 208714895765376. Its totient is φ = 79094168755200.

The previous prime is 131350342240141. The next prime is 131350342240147. The reversal of 131350342240143 is 341042243053131.

131350342240143 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 50 + 3 + 422 + 40 + 143 = 666.

It is not a de Polignac number, because 131350342240143 - 21 = 131350342240141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131350342240098 and 131350342240107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131350342240141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23044293 + ... + 28173393.

It is an arithmetic number, because the mean of its divisors is an integer number (4348226995112).

Almost surely, 2131350342240143 is an apocalyptic number.

131350342240143 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

131350342240143 is a deficient number, since it is larger than the sum of its proper divisors (77364553525233).

131350342240143 is a wasteful number, since it uses less digits than its factorization.

131350342240143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5133824 (or 5133821 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 131350342240143 its reverse (341042243053131), we get a palindrome (472392585293274).

The spelling of 131350342240143 in words is "one hundred thirty-one trillion, three hundred fifty billion, three hundred forty-two million, two hundred forty thousand, one hundred forty-three".

Divisors: 1 3 9 13 39 47 117 141 423 611 1833 4657 5499 13971 41913 60541 181623 218879 544869 656637 1969911 2845427 5129101 8536281 15387303 25608843 46161909 66678313 200034939 241067747 600104817 723203241 2169609723 3133880711 9401642133 23886223357 28204926399 71658670071 214976010213 310520903641 931562710923 1122652497779 2794688132769 3367957493337 10103872480011 14594482471127 43783447413381 131350342240143