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131435335331 = 2383220331253
BaseRepresentation
bin111101001101000101…
…0000000111010100011
3110120020221202211112122
41322122022000322203
54123134421212311
6140214111214455
712332042626316
oct1723212007243
9416227684478
10131435335331
1150817902883
122158151742b
13c518375891
14650bd7897d
153643d880db
hex1e9a280ea3

131435335331 has 16 divisors (see below), whose sum is σ = 138869773056. Its totient is φ = 124145694816.

The previous prime is 131435335309. The next prime is 131435335349. The reversal of 131435335331 is 133533534131.

It is a cyclic number.

It is not a de Polignac number, because 131435335331 - 26 = 131435335267 is a prime.

It is a super-2 number, since 2×1314353353312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131435335291 and 131435335300.

It is not an unprimeable number, because it can be changed into a prime (131435335301) 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 15 ways as a sum of consecutive naturals, for example, 4189901 + ... + 4221153.

It is an arithmetic number, because the mean of its divisors is an integer number (8679360816).

Almost surely, 2131435335331 is an apocalyptic number.

131435335331 is a deficient number, since it is larger than the sum of its proper divisors (7434437725).

131435335331 is a wasteful number, since it uses less digits than its factorization.

131435335331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33562.

The product of its digits is 72900, while the sum is 35.

Adding to 131435335331 its reverse (133533534131), we get a palindrome (264968869462).

The spelling of 131435335331 in words is "one hundred thirty-one billion, four hundred thirty-five million, three hundred thirty-five thousand, three hundred thirty-one".

Divisors: 1 23 83 1909 2203 31253 50669 182849 718819 2593999 4205527 59661977 68850359 1583558257 5714579797 131435335331