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131134677801 = 3337365935449
BaseRepresentation
bin111101000100000111…
…1000110001100101001
3110112111000000211221120
41322020033012030221
54122030434142201
6140124211125453
712321432240621
oct1721017061451
9415430024846
10131134677801
115068311a386
12214b88a3889
13c49aca770a
1464c0073881
153627799536
hex1e883c6329

131134677801 has 16 divisors (see below), whose sum is σ = 175417944000. Its totient is φ = 87137422848.

The previous prime is 131134677757. The next prime is 131134677823. The reversal of 131134677801 is 108776431131.

It is a happy number.

It is not a de Polignac number, because 131134677801 - 213 = 131134669609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131134677101) 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, 3681525 + ... + 3716973.

It is an arithmetic number, because the mean of its divisors is an integer number (10963621500).

Almost surely, 2131134677801 is an apocalyptic number.

It is an amenable number.

131134677801 is a deficient number, since it is larger than the sum of its proper divisors (44283266199).

131134677801 is a wasteful number, since it uses less digits than its factorization.

131134677801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39448.

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 131134677801 in words is "one hundred thirty-one billion, one hundred thirty-four million, six hundred seventy-seven thousand, eight hundred one".

Divisors: 1 3 337 1011 3659 10977 35449 106347 1233083 3699249 11946313 35838939 129707891 389123673 43711559267 131134677801