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11112200100 = 22325212346889
BaseRepresentation
bin10100101100101011…
…01011011110100100
31001200102120020211200
422112111223132210
5140224210400400
65034353002500
7542241066561
oct122625533644
931612506750
1011112200100
114792602451
1221a1553430
131081250241
14775b59868
15450853b00
hex29656b7a4

11112200100 has 54 divisors (see below), whose sum is σ = 34830576690. Its totient is φ = 2963253120.

The previous prime is 11112200081. The next prime is 11112200129. The reversal of 11112200100 is 100221111.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2061341604 + 9050858496 = 45402^2 + 95136^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6172545 + ... + 6174344.

Almost surely, 211112200100 is an apocalyptic number.

11112200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11112200100 is an abundant number, since it is smaller than the sum of its proper divisors (23718376590).

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

11112200100 is a wasteful number, since it uses less digits than its factorization.

11112200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12346909 (or 12346899 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11112200100 its reverse (100221111), we get a palindrome (11212421211).

The spelling of 11112200100 in words is "eleven billion, one hundred twelve million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 12346889 24693778 37040667 49387556 61734445 74081334 111122001 123468890 148162668 185203335 222244002 246937780 308672225 370406670 444488004 555610005 617344450 740813340 926016675 1111220010 1234688900 1852033350 2222440020 2778050025 3704066700 5556100050 11112200100