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131193354241 = 821307951899
BaseRepresentation
bin111101000101110111…
…0111011100000000001
3110112122002102220220001
41322023232323200001
54122140444313431
6140134104520001
712323044053145
oct1721356734001
9415562386801
10131193354241
1150703256904
1221514480001
13c4aa1b00c1
1464c7b89225
15362c9d9e61
hex1e8bbbb801

131193354241 has 8 divisors (see below), whose sum is σ = 131398344000. Its totient is φ = 130988476080.

The previous prime is 131193354221. The next prime is 131193354287. The reversal of 131193354241 is 142453391131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131193354241 - 223 = 131184965633 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131193354241.

It is not an unprimeable number, because it can be changed into a prime (131193354221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2501910 + ... + 2553808.

It is an arithmetic number, because the mean of its divisors is an integer number (16424793000).

Almost surely, 2131193354241 is an apocalyptic number.

It is an amenable number.

131193354241 is a deficient number, since it is larger than the sum of its proper divisors (204989759).

131193354241 is an equidigital number, since it uses as much as digits as its factorization.

131193354241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55799.

The product of its digits is 38880, while the sum is 37.

The spelling of 131193354241 in words is "one hundred thirty-one billion, one hundred ninety-three million, three hundred fifty-four thousand, two hundred forty-one".

Divisors: 1 821 3079 51899 2527859 42609079 159797021 131193354241