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431104444133 = 1117101149153191
BaseRepresentation
bin1100100010111111101…
…00111100011011100101
31112012202102001211220012
412101133310330123211
524030400214203013
6530014024220005
743101112212416
oct6213764743345
91465672054805
10431104444133
11156915246680
126b67400a605
133186477bb7c
1416c1918580d
15b3324851a8
hex645fd3c6e5

431104444133 has 32 divisors (see below), whose sum is σ = 506268921600. Its totient is φ = 362753920000.

The previous prime is 431104444049. The next prime is 431104444159. The reversal of 431104444133 is 331444401134.

It is a cyclic number.

It is not a de Polignac number, because 431104444133 - 216 = 431104378597 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 431104444133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431104444633) 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 31 ways as a sum of consecutive naturals, for example, 2737568 + ... + 2890758.

It is an arithmetic number, because the mean of its divisors is an integer number (15820903800).

Almost surely, 2431104444133 is an apocalyptic number.

It is an amenable number.

431104444133 is a deficient number, since it is larger than the sum of its proper divisors (75164477467).

431104444133 is a wasteful number, since it uses less digits than its factorization.

431104444133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153469.

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 431104444133 its reverse (331444401134), we get a palindrome (762548845267).

The spelling of 431104444133 in words is "four hundred thirty-one billion, one hundred four million, four hundred forty-four thousand, one hundred thirty-three".

Divisors: 1 11 17 101 149 187 1111 1639 1717 2533 15049 18887 27863 153191 165539 255833 1685101 2604247 2814163 15472291 22825459 28646717 170195201 251080049 263028947 388032803 2305371359 2893318417 4268360833 25359084949 39191313103 431104444133