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11220200100 = 22325212466889
BaseRepresentation
bin10100111001100011…
…01010101010100100
31001221221210012222200
422130301222222210
5140434332400400
65053211454500
7545022061434
oct123461525244
931857705880
1011220200100
11483856844a
122211757430
13109a735175
147862302c4
1545a088b00
hex29cc6aaa4

11220200100 has 54 divisors (see below), whose sum is σ = 35169096690. Its totient is φ = 2992053120.

The previous prime is 11220200063. The next prime is 11220200143. The reversal of 11220200100 is 100202211.

It can be written as a sum of positive squares in 3 ways, for example, as 499254336 + 10720945764 = 22344^2 + 103542^2 .

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, 6232545 + ... + 6234344.

Almost surely, 211220200100 is an apocalyptic number.

11220200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220200100 is an abundant number, since it is smaller than the sum of its proper divisors (23948896590).

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

11220200100 is a wasteful number, since it uses less digits than its factorization.

11220200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12466909 (or 12466899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11220200100 its reverse (100202211), we get a palindrome (11320402311).

The spelling of 11220200100 in words is "eleven billion, two hundred twenty 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 12466889 24933778 37400667 49867556 62334445 74801334 112202001 124668890 149602668 187003335 224404002 249337780 311672225 374006670 448808004 561010005 623344450 748013340 935016675 1122020010 1246688900 1870033350 2244040020 2805050025 3740066700 5610100050 11220200100