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131322100301 = 7185391011937
BaseRepresentation
bin111101001001101101…
…0000011101001001101
3110112222001200220021122
41322103122003221031
54122421424202201
6140154544210325
712326166302120
oct1722332035115
9415861626248
10131322100301
11507699a1707
122154b6099a5
13c4caa79bc2
1464dad003b7
153638e6be1b
hex1e93683a4d

131322100301 has 8 divisors (see below), whose sum is σ = 150090644160. Its totient is φ = 112555617408.

The previous prime is 131322100277. The next prime is 131322100309. The reversal of 131322100301 is 103001223131.

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 131322100301 - 222 = 131317905997 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 131322100301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131322100309) 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, 376196 + ... + 635741.

It is an arithmetic number, because the mean of its divisors is an integer number (18761330520).

Almost surely, 2131322100301 is an apocalyptic number.

It is an amenable number.

131322100301 is a deficient number, since it is larger than the sum of its proper divisors (18768543859).

131322100301 is a wasteful number, since it uses less digits than its factorization.

131322100301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030483.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 131322100301 its reverse (103001223131), we get a palindrome (234323323432).

The spelling of 131322100301 in words is "one hundred thirty-one billion, three hundred twenty-two million, one hundred thousand, three hundred one".

Divisors: 1 7 18539 129773 1011937 7083559 18760300043 131322100301