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11102144031 = 3211123191099
BaseRepresentation
bin10100101011011110…
…10100011000011111
31001122201122100111200
422111233110120133
5140214122102111
65033353250543
7542056444566
oct122557243037
931581570450
1011102144031
114787964150
12219a103a53
13107c13bcc4
1477469cbdd
1544ea19256
hex295bd461f

11102144031 has 24 divisors (see below), whose sum is σ = 17508691200. Its totient is φ = 6723032400.

The previous prime is 11102143961. The next prime is 11102144033. The reversal of 11102144031 is 13044120111.

It is not a de Polignac number, because 11102144031 - 27 = 11102143903 is a prime.

It is a super-2 number, since 2×111021440312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11102143995 and 11102144013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102144033) 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, 76320 + ... + 167418.

It is an arithmetic number, because the mean of its divisors is an integer number (729528800).

Almost surely, 211102144031 is an apocalyptic number.

11102144031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11102144031 is a deficient number, since it is larger than the sum of its proper divisors (6406547169).

11102144031 is a wasteful number, since it uses less digits than its factorization.

11102144031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92347 (or 92344 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11102144031 its reverse (13044120111), we get a palindrome (24146264142).

The spelling of 11102144031 in words is "eleven billion, one hundred two million, one hundred forty-four thousand, thirty-one".

Divisors: 1 3 9 11 33 99 1231 3693 11079 13541 40623 91099 121869 273297 819891 1002089 3006267 9018801 112142869 336428607 1009285821 1233571559 3700714677 11102144031