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11000344100 = 2252110003441
BaseRepresentation
bin10100011111010101…
…11110111000100100
31001101122002101020212
422033222332320210
5140012042002400
65015315314552
7536412245024
oct121752767044
931348071225
1011000344100
114735453379
12216bbaba58
131064018165
14764d5da84
15445b0b335
hex28fabee24

11000344100 has 18 divisors (see below), whose sum is σ = 23870746914. Its totient is φ = 4400137600.

The previous prime is 11000344099. The next prime is 11000344123. The reversal of 11000344100 is 144300011.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 421398784 + 10578945316 = 20528^2 + 102854^2 .

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, 55001621 + ... + 55001820.

Almost surely, 211000344100 is an apocalyptic number.

11000344100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000344100 is an abundant number, since it is smaller than the sum of its proper divisors (12870402814).

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

11000344100 is a wasteful number, since it uses less digits than its factorization.

11000344100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110003455 (or 110003448 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 11000344100 its reverse (144300011), we get a palindrome (11144644111).

The spelling of 11000344100 in words is "eleven billion, three hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 110003441 220006882 440013764 550017205 1100034410 2200068820 2750086025 5500172050 11000344100