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11120112100 = 2252295337657
BaseRepresentation
bin10100101101100111…
…10111000111100100
31001200222110020001201
422112303313013210
5140233222041400
65035234332244
7542365251616
oct122663670744
931628406051
1011120112100
114797016899
1221a412a084
131082a905b6
14776c18db6
154513b806a
hex296cf71e4

11120112100 has 36 divisors (see below), whose sum is σ = 24139455844. Its totient is φ = 4446420480.

The previous prime is 11120112061. The next prime is 11120112103. The reversal of 11120112100 is 121102111.

It can be written as a sum of positive squares in 6 ways, for example, as 405377956 + 10714734144 = 20134^2 + 103512^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (11120112103) 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 11 ways as a sum of consecutive naturals, for example, 276472 + ... + 314128.

Almost surely, 211120112100 is an apocalyptic number.

11120112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11120112100 is an abundant number, since it is smaller than the sum of its proper divisors (13019343744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11120112100 is a wasteful number, since it uses less digits than its factorization.

11120112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40624 (or 40617 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11120112100 its reverse (121102111), we get a palindrome (11241214211).

It can be divided in two parts, 1112011 and 2100, that added together give a palindrome (1114111).

The spelling of 11120112100 in words is "eleven billion, one hundred twenty million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2953 5906 11812 14765 29530 37657 59060 73825 75314 147650 150628 188285 295300 376570 753140 941425 1882850 3765700 111201121 222402242 444804484 556005605 1112011210 2224022420 2780028025 5560056050 11120112100