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2001141 = 32222349
BaseRepresentation
bin111101000100011110101
310202200001100
413220203311
51003014031
6110520313
723003142
oct7504365
93680040
102001141
11114753a
12806099
13550b0c
143a13c9
15297de6
hex1e88f5

2001141 has 6 divisors (see below), whose sum is σ = 2890550. Its totient is φ = 1334088.

The previous prime is 2001127. The next prime is 2001163. The reversal of 2001141 is 1411002.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1703025 + 298116 = 1305^2 + 546^2 .

It is not a de Polignac number, because 2001141 - 29 = 2000629 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 222349 = 2001141 / (2 + 0 + 0 + 1 + 1 + 4 + 1).

It is a Duffinian number.

2001141 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111166 + ... + 111183.

22001141 is an apocalyptic number.

It is an amenable number.

2001141 is a deficient number, since it is larger than the sum of its proper divisors (889409).

2001141 is a wasteful number, since it uses less digits than its factorization.

2001141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222355 (or 222352 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2001141 is about 1414.6169092726. The cubic root of 2001141 is about 126.0160599333.

Adding to 2001141 its reverse (1411002), we get a palindrome (3412143).

The spelling of 2001141 in words is "two million, one thousand, one hundred forty-one".

Divisors: 1 3 9 222349 667047 2001141