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11112112100 = 2252111121121
BaseRepresentation
bin10100101100101010…
…10101111111100100
31001200102101210010102
422112111111333210
5140224200041400
65034351043232
7542240252165
oct122625257744
931612353112
1011112112100
114792552321
1221a1510518
13108121c17b
14775b3576c
154508379d5
hex296555fe4

11112112100 has 18 divisors (see below), whose sum is σ = 24113283474. Its totient is φ = 4444844800.

The previous prime is 11112112093. The next prime is 11112112139. The reversal of 11112112100 is 121121111.

It can be written as a sum of positive squares in 3 ways, for example, as 3211035556 + 7901076544 = 56666^2 + 88888^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 55560461 + ... + 55560660.

Almost surely, 211112112100 is an apocalyptic number.

11112112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11112112100 is an abundant number, since it is smaller than the sum of its proper divisors (13001171374).

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

11112112100 is a wasteful number, since it uses less digits than its factorization.

11112112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111121135 (or 111121128 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11112112100 its reverse (121121111), we get a palindrome (11233233211).

The spelling of 11112112100 in words is "eleven billion, one hundred twelve million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 111121121 222242242 444484484 555605605 1111211210 2222422420 2778028025 5556056050 11112112100