Search a number
-
+
21120120001121 = 471017687578789
BaseRepresentation
bin1001100110101011010010…
…10000000001001001100001
32202210001201110212020020012
410303111221100001021201
510232013001210013441
6112530241005054305
74306610155650551
oct463255120011141
982701643766205
1021120120001121
116802aa115a729
122451279557395
13ba28075911cb
1453030d927161
152695b1da89eb
hex133569401261

21120120001121 has 16 divisors (see below), whose sum is σ = 21785914897920. Its totient is φ = 20463397012800.

The previous prime is 21120120001111. The next prime is 21120120001129. The reversal of 21120120001121 is 12110002102112.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21120120001121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21120120001096 and 21120120001105.

It is not an unprimeable number, because it can be changed into a prime (21120120001129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36200795 + ... + 36779583.

It is an arithmetic number, because the mean of its divisors is an integer number (1361619681120).

Almost surely, 221120120001121 is an apocalyptic number.

It is an amenable number.

21120120001121 is a deficient number, since it is larger than the sum of its proper divisors (665794896799).

21120120001121 is a wasteful number, since it uses less digits than its factorization.

21120120001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586624.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21120120001121 its reverse (12110002102112), we get a palindrome (33230122103233).

The spelling of 21120120001121 in words is "twenty-one trillion, one hundred twenty billion, one hundred twenty million, one thousand, one hundred twenty-one".

Divisors: 1 47 101 4747 7687 361289 578789 776387 27203083 36490189 58457689 2747511383 4449151043 209110099021 449364255343 21120120001121