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2004111141 = 323611972417
BaseRepresentation
bin111011101110100…
…0100111100100101
312011200002101122120
41313131010330211
513101023024031
6530511020153
7100443443424
oct16735047445
95150071576
102004111141
119392a53aa
1247b20a659
1325c2866a6
141502492bb
15bae25a96
hex77744f25

2004111141 has 32 divisors (see below), whose sum is σ = 2849603328. Its totient is φ = 1250135040.

The previous prime is 2004111103. The next prime is 2004111173. The reversal of 2004111141 is 1411114002.

It is not a de Polignac number, because 2004111141 - 26 = 2004111077 is a prime.

It is a super-2 number, since 2×20041111412 = 8032922930960643762, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2004111141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004111341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 827965 + ... + 830381.

It is an arithmetic number, because the mean of its divisors is an integer number (89050104).

Almost surely, 22004111141 is an apocalyptic number.

It is an amenable number.

2004111141 is a deficient number, since it is larger than the sum of its proper divisors (845492187).

2004111141 is a wasteful number, since it uses less digits than its factorization.

2004111141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2701.

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 2004111141 is about 44767.2999074101. The cubic root of 2004111141 is about 1260.7837445689.

Adding to 2004111141 its reverse (1411114002), we get a palindrome (3415225143).

The spelling of 2004111141 in words is "two billion, four million, one hundred eleven thousand, one hundred forty-one".

Divisors: 1 3 23 61 69 183 197 591 1403 2417 4209 4531 7251 12017 13593 36051 55591 147437 166773 276391 442311 476149 829173 1428447 3391051 10173153 10951427 29045089 32854281 87135267 668037047 2004111141