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1141214811 = 3111731211311
BaseRepresentation
bin100010000000101…
…1000111001011011
32221112101201102020
41010001120321123
54314122333221
6305124105523
740165110612
oct10401307133
92845351366
101141214811
11536205640
1227a2352a3
13152581449
14ab7ca879
156a2c7ac6
hex44058e5b

1141214811 has 64 divisors (see below), whose sum is σ = 1828749312. Its totient is φ = 624960000.

The previous prime is 1141214801. The next prime is 1141214821. The reversal of 1141214811 is 1184121411.

It is an interprime number because it is at equal distance from previous prime (1141214801) and next prime (1141214821).

It is not a de Polignac number, because 1141214811 - 214 = 1141198427 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1141214801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3669346 + ... + 3669656.

It is an arithmetic number, because the mean of its divisors is an integer number (28574208).

Almost surely, 21141214811 is an apocalyptic number.

1141214811 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1141214811 is a deficient number, since it is larger than the sum of its proper divisors (687534501).

1141214811 is a wasteful number, since it uses less digits than its factorization.

1141214811 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584.

The product of its digits is 256, while the sum is 24.

The square root of 1141214811 is about 33781.8710405448. The cubic root of 1141214811 is about 1045.0148608648.

The spelling of 1141214811 in words is "one billion, one hundred forty-one million, two hundred fourteen thousand, eight hundred eleven".

Divisors: 1 3 11 17 31 33 51 93 187 211 311 341 527 561 633 933 1023 1581 2321 3421 3587 5287 5797 6541 6963 9641 10263 10761 15861 17391 19623 28923 39457 58157 65621 71951 106051 111197 118371 163897 174471 196863 215853 318153 333591 491691 721831 1115557 1223167 1802867 2034251 2165493 3346671 3669501 5408601 6102753 12271127 22376761 34582267 36813381 67130283 103746801 380404937 1141214811