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11132221200 = 243529276851
BaseRepresentation
bin10100101111000100…
…00011011100010000
31001201211020102121220
422113202003130100
5140244322034300
65040350045040
7542603214252
oct122742033420
931654212556
1011132221200
1147a2937611
1221a81a9780
131085440149
1477868bcd2
154524aada0
hex297883710

11132221200 has 60 divisors (see below), whose sum is σ = 35660219088. Its totient is φ = 2968592000.

The previous prime is 11132221183. The next prime is 11132221207. The reversal of 11132221200 is 212223111.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11132221200.

It is not an unprimeable number, because it can be changed into a prime (11132221207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4637226 + ... + 4639625.

Almost surely, 211132221200 is an apocalyptic number.

11132221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11132221200 is an abundant number, since it is smaller than the sum of its proper divisors (24527997888).

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

11132221200 is a wasteful number, since it uses less digits than its factorization.

11132221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9276872 (or 9276861 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11132221200 its reverse (212223111), we get a palindrome (11344444311).

The spelling of 11132221200 in words is "eleven billion, one hundred thirty-two million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 9276851 18553702 27830553 37107404 46384255 55661106 74214808 92768510 111322212 139152765 148429616 185537020 222644424 231921275 278305530 371074040 445288848 463842550 556611060 695763825 742148080 927685100 1113222120 1391527650 1855370200 2226444240 2783055300 3710740400 5566110600 11132221200