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2004221131 = 114367373
BaseRepresentation
bin111011101110101…
…1111110011001011
312011200021222112021
41313131133303023
513101040034011
6530513225311
7100444412203
oct16735376313
95150258467
102004221131
11939370000
1247b262237
1325c2c4783
14150277403
15bae48471
hex7775fccb

2004221131 has 20 divisors (see below), whose sum is σ = 2216563360. Its totient is φ = 1812183120.

The previous prime is 2004221119. The next prime is 2004221147. The reversal of 2004221131 is 1311224002.

It is not a de Polignac number, because 2004221131 - 217 = 2004090059 is a prime.

It is a super-2 number, since 2×20042211312 = 8033804683893838322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2004221101) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5373061 + ... + 5373433.

It is an arithmetic number, because the mean of its divisors is an integer number (110828168).

Almost surely, 22004221131 is an apocalyptic number.

2004221131 is a deficient number, since it is larger than the sum of its proper divisors (212342229).

2004221131 is an frugal number, since it uses more digits than its factorization.

2004221131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2004221131 is about 44768.5283541910. The cubic root of 2004221131 is about 1260.8068090028.

Adding to 2004221131 its reverse (1311224002), we get a palindrome (3315445133).

The spelling of 2004221131 in words is "two billion, four million, two hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 11 121 367 373 1331 4037 4103 14641 44407 45133 136891 488477 496463 1505801 5373247 5461093 16563811 182201921 2004221131