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131140011321 = 321117194101073
BaseRepresentation
bin111101000100010001…
…1011100010100111001
3110112111101001211011100
41322020203130110321
54122033320330241
6140124521322013
712321525463344
oct1721043342471
9415441054140
10131140011321
1150686132550
12214ba636309
13c49c124247
1464c0a6145b
153627e9e9b6
hex1e888dc539

131140011321 has 48 divisors (see below), whose sum is σ = 230316315840. Its totient is φ = 70866524160.

The previous prime is 131140011293. The next prime is 131140011337. The reversal of 131140011321 is 123110041131.

It is a happy number.

131140011321 is a `hidden beast` number, since 131 + 1 + 400 + 1 + 132 + 1 = 666.

It is not a de Polignac number, because 131140011321 - 221 = 131137914169 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131140011294 and 131140011303.

It is not an unprimeable number, because it can be changed into a prime (131140013321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2018560 + ... + 2082513.

It is an arithmetic number, because the mean of its divisors is an integer number (4798256580).

Almost surely, 2131140011321 is an apocalyptic number.

131140011321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131140011321 is a deficient number, since it is larger than the sum of its proper divisors (99176304519).

131140011321 is a wasteful number, since it uses less digits than its factorization.

131140011321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4101126 (or 4101123 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 131140011321 its reverse (123110041131), we get a palindrome (254250052452).

The spelling of 131140011321 in words is "one hundred thirty-one billion, one hundred forty million, eleven thousand, three hundred twenty-one".

Divisors: 1 3 9 11 17 19 33 51 57 99 153 171 187 209 323 561 627 969 1683 1881 2907 3553 10659 31977 4101073 12303219 36909657 45111803 69718241 77920387 135335409 209154723 233761161 406006227 627464169 701283483 766900651 857124257 1324646579 2300701953 2571372771 3973939737 6902105859 7714118313 11921819211 14571112369 43713337107 131140011321