Search a number
-
+
3201111441 = 3311173971597
BaseRepresentation
bin1011111011001101…
…0001010110010001
322021002110022101000
42332303101112101
523023441031231
61245350532213
7142216666263
oct27663212621
98232408330
103201111441
1113a2a42450
12754067069
133c026a6a8
142251d7b33
1513b06c6e6
hexbecd1591

3201111441 has 64 divisors (see below), whose sum is σ = 5495074560. Its totient is φ = 1820206080.

The previous prime is 3201111359. The next prime is 3201111497. The reversal of 3201111441 is 1441111023.

It is not a de Polignac number, because 3201111441 - 211 = 3201109393 is a prime.

It is a super-2 number, since 2×32011114412 = 20494228915402192962, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3201111341) 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 63 ways as a sum of consecutive naturals, for example, 2003655 + ... + 2005251.

It is an arithmetic number, because the mean of its divisors is an integer number (85860540).

Almost surely, 23201111441 is an apocalyptic number.

It is an amenable number.

3201111441 is a deficient number, since it is larger than the sum of its proper divisors (2293963119).

3201111441 is a wasteful number, since it uses less digits than its factorization.

3201111441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2025 counting only the distinct ones).

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

The square root of 3201111441 is about 56578.3654854044. The cubic root of 3201111441 is about 1473.7831873600.

Adding to 3201111441 its reverse (1441111023), we get a palindrome (4642222464).

The spelling of 3201111441 in words is "three billion, two hundred one million, one hundred eleven thousand, four hundred forty-one".

Divisors: 1 3 9 11 17 27 33 51 99 153 187 297 397 459 561 1191 1597 1683 3573 4367 4791 5049 6749 10719 13101 14373 17567 20247 27149 39303 43119 52701 60741 74239 81447 117909 158103 182223 222717 244341 298639 474309 634009 668151 733023 895917 1902027 2004453 2687751 5706081 6974099 8063253 10778153 17118243 20922297 32334459 62766891 97003377 118559683 188300673 291010131 355679049 1067037147 3201111441