Search a number
-
+
1131104424131 = 11197547995267
BaseRepresentation
bin10000011101011011000…
…100111101000011000011
311000010120121112020012022
4100131123010331003003
5122013000213033011
62223342221152055
7144501551653553
oct20353304750303
94003517466168
101131104424131
113a6775a61240
121632706bb62b
138287cc0c976
143ca62483163
151e6515368db
hex1075b13d0c3

1131104424131 has 16 divisors (see below), whose sum is σ = 1240435088640. Its totient is φ = 1022859610080.

The previous prime is 1131104424113. The next prime is 1131104424139. The reversal of 1131104424131 is 1314244011311.

It is not a de Polignac number, because 1131104424131 - 210 = 1131104423107 is a prime.

It is a super-2 number, since 2×11311044241312 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1131104424131.

It is not an unprimeable number, because it can be changed into a prime (1131104424139) 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, 11825360 + ... + 11920626.

It is an arithmetic number, because the mean of its divisors is an integer number (77527193040).

Almost surely, 21131104424131 is an apocalyptic number.

1131104424131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1131104424131 is a deficient number, since it is larger than the sum of its proper divisors (109330664509).

1131104424131 is a wasteful number, since it uses less digits than its factorization.

1131104424131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100954.

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 1131104424131 its reverse (1314244011311), we get a palindrome (2445348435442).

The spelling of 1131104424131 in words is "one trillion, one hundred thirty-one billion, one hundred four million, four hundred twenty-four thousand, one hundred thirty-one".

Divisors: 1 11 197 2167 5479 60269 95267 1047937 1079363 11872993 18767599 206443589 521967893 5741646823 102827674921 1131104424131