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11103121141 = 721776917333
BaseRepresentation
bin10100101011100110…
…00010111011110101
31001122210110222211221
422111303002323311
5140214344334031
65033430230341
7542100654400
oct122563027365
931583428757
1011103121141
114788471282
12219a4b53b1
13107c3c1988
14774874d37
1544eb5da11
hex295cc2ef5

11103121141 has 24 divisors (see below), whose sum is σ = 13694206680. Its totient is φ = 8944975872.

The previous prime is 11103121129. The next prime is 11103121147. The reversal of 11103121141 is 14112130111.

It can be written as a sum of positive squares in 4 ways, for example, as 464230116 + 10638891025 = 21546^2 + 103145^2 .

It is not a de Polignac number, because 11103121141 - 27 = 11103121013 is a prime.

It is a super-2 number, since 2×111031211412 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11103121147) 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 23 ways as a sum of consecutive naturals, for example, 631911 + ... + 649243.

It is an arithmetic number, because the mean of its divisors is an integer number (570591945).

Almost surely, 211103121141 is an apocalyptic number.

It is an amenable number.

11103121141 is a deficient number, since it is larger than the sum of its proper divisors (2591085539).

11103121141 is a wasteful number, since it uses less digits than its factorization.

11103121141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18133 (or 18126 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 11103121141 its reverse (14112130111), we get a palindrome (25215251252).

The spelling of 11103121141 in words is "eleven billion, one hundred three million, one hundred twenty-one thousand, one hundred forty-one".

Divisors: 1 7 17 49 119 769 833 5383 13073 17333 37681 91511 121331 294661 640577 849317 2062627 13329077 14438389 93303539 226594309 653124773 1586160163 11103121141