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32142263013 = 3272917592919
BaseRepresentation
bin11101111011110101…
…000000001011100101
310001222001100010202200
4131323311000023211
51011311404404023
622433240125113
72215341504420
oct357365001345
9101861303680
1032142263013
11126a4518a33
126290466799
13305315c853
1417acb769b7
15c81c3d743
hex77bd402e5

32142263013 has 24 divisors (see below), whose sum is σ = 54889910400. Its totient is φ = 17733661344.

The previous prime is 32142263009. The next prime is 32142263017. The reversal of 32142263013 is 31036224123.

32142263013 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 22 + 630 + 1 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (32142263009) and next prime (32142263017).

It is not a de Polignac number, because 32142263013 - 22 = 32142263009 is a prime.

It is a super-3 number, since 3×321422630133 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32142263017) 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 23 ways as a sum of consecutive naturals, for example, 8794633 + ... + 8798286.

It is an arithmetic number, because the mean of its divisors is an integer number (2287079600).

Almost surely, 232142263013 is an apocalyptic number.

It is an amenable number.

32142263013 is a deficient number, since it is larger than the sum of its proper divisors (22747647387).

32142263013 is a wasteful number, since it uses less digits than its factorization.

32142263013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17592961 (or 17592958 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 32142263013 its reverse (31036224123), we get a palindrome (63178487136).

The spelling of 32142263013 in words is "thirty-two billion, one hundred forty-two million, two hundred sixty-three thousand, thirteen".

Divisors: 1 3 7 9 21 29 63 87 203 261 609 1827 17592919 52778757 123150433 158336271 369451299 510194651 1108353897 1530583953 3571362557 4591751859 10714087671 32142263013