Search a number
-
+
10132412121 = 331328867271
BaseRepresentation
bin10010110111111000…
…00101011011011001
3222011010220212102000
421123330011123121
5131222344141441
64353232431213
7506043040056
oct113374053331
928133825360
1010132412121
11432a534217
121b693a8509
13c5626bb40
146c199002d
153e48162b6
hex25bf056d9

10132412121 has 16 divisors (see below), whose sum is σ = 16165672320. Its totient is φ = 6235330320.

The previous prime is 10132412083. The next prime is 10132412153. The reversal of 10132412121 is 12121423101.

10132412121 is a `hidden beast` number, since 1 + 0 + 132 + 412 + 121 = 666.

It is not a de Polignac number, because 10132412121 - 26 = 10132412057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10132412094 and 10132412103.

It is not an unprimeable number, because it can be changed into a prime (10132412161) 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 15 ways as a sum of consecutive naturals, for example, 14433285 + ... + 14433986.

It is an arithmetic number, because the mean of its divisors is an integer number (1010354520).

Almost surely, 210132412121 is an apocalyptic number.

It is an amenable number.

10132412121 is a deficient number, since it is larger than the sum of its proper divisors (6033260199).

10132412121 is a wasteful number, since it uses less digits than its factorization.

10132412121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28867293 (or 28867287 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10132412121 its reverse (12121423101), we get a palindrome (22253835222).

The spelling of 10132412121 in words is "ten billion, one hundred thirty-two million, four hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 9 13 27 39 117 351 28867271 86601813 259805439 375274523 779416317 1125823569 3377470707 10132412121