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131205054234223 = 1723751446821303
BaseRepresentation
bin11101110101010010001110…
…101001100111111001101111
3122012120002011211011002200101
4131311102032221213321233
5114144130422340443343
61143014434140211531
736431152361533324
oct3565221651477157
9565502154132611
10131205054234223
11388958296742a2
1212870503239ba7
13582977800a218
142458503a64b4b
151027e27d4ee4d
hex77548ea67e6f

131205054234223 has 16 divisors (see below), whose sum is σ = 145156156102656. Its totient is φ = 117960823728000.

The previous prime is 131205054234209. The next prime is 131205054234229. The reversal of 131205054234223 is 322432450502131.

It is a de Polignac number, because none of the positive numbers 2k-131205054234223 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131205054234229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223117011 + ... + 223704292.

It is an arithmetic number, because the mean of its divisors is an integer number (9072259756416).

Almost surely, 2131205054234223 is an apocalyptic number.

131205054234223 is a deficient number, since it is larger than the sum of its proper divisors (13951101868433).

131205054234223 is a wasteful number, since it uses less digits than its factorization.

131205054234223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446822094.

The product of its (nonzero) digits is 172800, while the sum is 37.

The spelling of 131205054234223 in words is "one hundred thirty-one trillion, two hundred five billion, fifty-four million, two hundred thirty-four thousand, two hundred twenty-three".

Divisors: 1 17 23 391 751 12767 17273 293641 446821303 7595962151 10276889969 174707129473 335562798553 5704567575401 7717944366719 131205054234223