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2041041131 = 17418335281
BaseRepresentation
bin111100110100111…
…1101000011101011
312021020120122001222
41321221331003223
513140001304011
6534310332255
7101402364143
oct17151750353
95236518058
102041041131
11958129458
1248b65a08b
13266b16a5c
141550dd923
15be2bcddb
hex79a7d0eb

2041041131 has 16 divisors (see below), whose sum is σ = 2240548128. Its totient is φ = 1851494400.

The previous prime is 2041041127. The next prime is 2041041133. The reversal of 2041041131 is 1311401402.

It is a happy number.

It is not a de Polignac number, because 2041041131 - 22 = 2041041127 is a prime.

It is a super-2 number, since 2×20410411312 = 8331697796867518322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2041041133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40211 + ... + 75491.

It is an arithmetic number, because the mean of its divisors is an integer number (140034258).

Almost surely, 22041041131 is an apocalyptic number.

2041041131 is a deficient number, since it is larger than the sum of its proper divisors (199506997).

2041041131 is a wasteful number, since it uses less digits than its factorization.

2041041131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35422.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 2041041131 is about 45177.8832062769. The cubic root of 2041041131 is about 1268.4808609442.

Adding to 2041041131 its reverse (1311401402), we get a palindrome (3352442533).

The spelling of 2041041131 in words is "two billion, forty-one million, forty-one thousand, one hundred thirty-one".

Divisors: 1 17 41 83 697 1411 3403 35281 57851 599777 1446521 2928323 24590857 49781491 120061243 2041041131