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131909681314 = 2193793819119
BaseRepresentation
bin111101011011001101…
…1100000000010100010
3110121111000100002220101
41322312123200002202
54130122334300224
6140333134133014
712346562535235
oct1726633400242
9417430302811
10131909681314
1150a40637a54
122169435116a
13c592717b88
146554d7341c
153670835044
hex1eb66e00a2

131909681314 has 16 divisors (see below), whose sum is σ = 213907593600. Its totient is φ = 60794788464.

The previous prime is 131909681291. The next prime is 131909681317. The reversal of 131909681314 is 413186909131.

It is a super-2 number, since 2×1319096813142 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131909681317) 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 7 ways as a sum of consecutive naturals, for example, 46908154 + ... + 46910965.

It is an arithmetic number, because the mean of its divisors is an integer number (13369224600).

Almost surely, 2131909681314 is an apocalyptic number.

131909681314 is a deficient number, since it is larger than the sum of its proper divisors (81997912286).

131909681314 is a wasteful number, since it uses less digits than its factorization.

131909681314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93819177.

The product of its (nonzero) digits is 139968, while the sum is 46.

The spelling of 131909681314 in words is "one hundred thirty-one billion, nine hundred nine million, six hundred eighty-one thousand, three hundred fourteen".

Divisors: 1 2 19 37 38 74 703 1406 93819119 187638238 1782563261 3471307403 3565126522 6942614806 65954840657 131909681314