Search a number
-
+
32112102001032 = 23322678316652407
BaseRepresentation
bin1110100110100101011100…
…11011101100100110001000
311012200212221121020022011100
413103102232123230212020
513202111041103013112
6152144032423101400
76523010552234514
oct723225633544610
9135625847208140
1032112102001032
11a260736467489
123727659ba1860
1314bc20980c0c1
147d033c26b144
153aa4996ae2dc
hex1d34ae6ec988

32112102001032 has 48 divisors (see below), whose sum is σ = 86973528695040. Its totient is φ = 10703633699808.

The previous prime is 32112102000997. The next prime is 32112102001037. The reversal of 32112102001032 is 23010020121123.

32112102001032 is a `hidden beast` number, since 3 + 211 + 210 + 200 + 10 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 32112102000996 and 32112102001014.

It is not an unprimeable number, because it can be changed into a prime (32112102001037) 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 11 ways as a sum of consecutive naturals, for example, 6397828 + ... + 10254579.

It is an arithmetic number, because the mean of its divisors is an integer number (1811948514480).

Almost surely, 232112102001032 is an apocalyptic number.

It is an amenable number.

32112102001032 is an abundant number, since it is smaller than the sum of its proper divisors (54861426694008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32112102001032 is a wasteful number, since it uses less digits than its factorization.

32112102001032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16679202 (or 16679195 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 32112102001032 its reverse (23010020121123), we get a palindrome (55122122122155).

The spelling of 32112102001032 in words is "thirty-two trillion, one hundred twelve billion, one hundred two million, one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 26783 53566 80349 107132 160698 214264 241047 321396 482094 642792 964188 1928376 16652407 33304814 49957221 66609628 99914442 133219256 149871663 199828884 299743326 399657768 599486652 1198973304 446001416681 892002833362 1338004250043 1784005666724 2676008500086 3568011333448 4014012750129 5352017000172 8028025500258 10704034000344 16056051000516 32112102001032