Search a number
-
+
1330121221 = 111329417823
BaseRepresentation
bin100111101001000…
…0000101000000101
310102200212011021221
41033102000220011
510211002334341
6335553040341
744650562302
oct11722005005
93380764257
101330121221
11622900840
123115560b1
131827531a0
14c89220a9
157bb8eed1
hex4f480a05

1330121221 has 32 divisors (see below), whose sum is σ = 1656184320. Its totient is φ = 1051276800.

The previous prime is 1330121213. The next prime is 1330121227. The reversal of 1330121221 is 1221210331.

It is a cyclic number.

It is not a de Polignac number, because 1330121221 - 23 = 1330121213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1330121195 and 1330121204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330121227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166116 + ... + 173938.

It is an arithmetic number, because the mean of its divisors is an integer number (51755760).

Almost surely, 21330121221 is an apocalyptic number.

1330121221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1330121221 is a deficient number, since it is larger than the sum of its proper divisors (326063099).

1330121221 is a wasteful number, since it uses less digits than its factorization.

1330121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7917.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1330121221 is about 36470.8269854140. The cubic root of 1330121221 is about 1099.7578588230.

Adding to 1330121221 its reverse (1221210331), we get a palindrome (2551331552).

The spelling of 1330121221 in words is "one billion, three hundred thirty million, one hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 11 13 29 41 143 319 377 451 533 1189 4147 5863 7823 13079 15457 86053 101699 170027 226867 320743 1118689 2495537 2949271 3528173 4169659 9301547 32441981 45866249 102317017 120920111 1330121221