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11021031200 = 2552130110589
BaseRepresentation
bin10100100001110011…
…11001011100100000
31001110002000101121202
422100321321130200
5140032340444300
65021334540332
7540053135204
oct122071713440
931402011552
1011021031200
1147460a2953
122176b076a8
1310683ac24a
147679c6b04
15447845ad5
hex290e79720

11021031200 has 72 divisors (see below), whose sum is σ = 26928315540. Its totient is φ = 4404608000.

The previous prime is 11021031191. The next prime is 11021031227. The reversal of 11021031200 is 213012011.

It can be written as a sum of positive squares in 6 ways, for example, as 45535504 + 10975495696 = 6748^2 + 104764^2 .

It is a super-2 number, since 2×110210312002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1035506 + ... + 1046094.

Almost surely, 211021031200 is an apocalyptic number.

11021031200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11021031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13464157770).

11021031200 is an abundant number, since it is smaller than the sum of its proper divisors (15907284340).

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

11021031200 is a wasteful number, since it uses less digits than its factorization.

11021031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11910 (or 11897 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 11021031200 its reverse (213012011), we get a palindrome (11234043211).

The spelling of 11021031200 in words is "eleven billion, twenty-one million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1301 2602 5204 6505 10408 10589 13010 20816 21178 26020 32525 41632 42356 52040 52945 65050 84712 104080 105890 130100 169424 208160 211780 260200 264725 338848 423560 520400 529450 847120 1040800 1058900 1694240 2117800 4235600 8471200 13776289 27552578 55105156 68881445 110210312 137762890 220420624 275525780 344407225 440841248 551051560 688814450 1102103120 1377628900 2204206240 2755257800 5510515600 11021031200