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2013241221 = 32232422861
BaseRepresentation
bin111011111111111…
…1001111110000101
312012022021020202200
41313333321332011
513110342204341
6531434425113
7100614160635
oct16777717605
95168236680
102013241221
11943470a22
12482292199
132611322c4
141515446c5
15bbb2adb6
hex77ff9f85

2013241221 has 18 divisors (see below), whose sum is σ = 3039954918. Its totient is φ = 1283802960.

The previous prime is 2013241207. The next prime is 2013241229. The reversal of 2013241221 is 1221423102.

It is a happy number.

2013241221 is a `hidden beast` number, since 201 + 3 + 241 + 221 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2011522500 + 1718721 = 44850^2 + 1311^2 .

It is not a de Polignac number, because 2013241221 - 210 = 2013240197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2013241194 and 2013241203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013241229) 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 17 ways as a sum of consecutive naturals, for example, 206670 + ... + 216191.

Almost surely, 22013241221 is an apocalyptic number.

It is an amenable number.

2013241221 is a deficient number, since it is larger than the sum of its proper divisors (1026713697).

2013241221 is a wasteful number, since it uses less digits than its factorization.

2013241221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422913 (or 422887 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2013241221 is about 44869.1566780567. The cubic root of 2013241221 is about 1262.6954183795.

Adding to 2013241221 its reverse (1221423102), we get a palindrome (3234664323).

The spelling of 2013241221 in words is "two billion, thirteen million, two hundred forty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 23 69 207 529 1587 4761 422861 1268583 3805749 9725803 29177409 87532227 223693469 671080407 2013241221