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431101300149 = 321319319091329
BaseRepresentation
bin1100100010111111010…
…00111100110110110101
31112012202012011010011100
412101133220330312311
524030343413101044
6530013433000313
743101043406322
oct6213750746665
91465665133140
10431101300149
11156913499543
126b672b53099
1331863c1ab20
1416c189a7b49
15b332063869
hex645fa3cdb5

431101300149 has 24 divisors (see below), whose sum is σ = 674076679640. Its totient is φ = 263918518272.

The previous prime is 431101300139. The next prime is 431101300163. The reversal of 431101300149 is 941003101134.

431101300149 is a `hidden beast` number, since 4 + 311 + 0 + 1 + 300 + 1 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34273116900 + 396828183249 = 185130^2 + 629943^2 .

It is not a de Polignac number, because 431101300149 - 211 = 431101298101 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431101300139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9523084 + ... + 9568245.

Almost surely, 2431101300149 is an apocalyptic number.

It is an amenable number.

431101300149 is a deficient number, since it is larger than the sum of its proper divisors (242975379491).

431101300149 is a wasteful number, since it uses less digits than its factorization.

431101300149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19091541 (or 19091538 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 431101300149 in words is "four hundred thirty-one billion, one hundred one million, three hundred thousand, one hundred forty-nine".

Divisors: 1 3 9 13 39 117 193 579 1737 2509 7527 22581 19091329 57273987 171821961 248187277 744561831 2233685493 3684626497 11053879491 33161638473 47900144461 143700433383 431101300149