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1100212000 = 2553275053
BaseRepresentation
bin100000110010011…
…1110011100100000
32211200020120010121
41001210332130200
54223123241000
6301101210024
736156435106
oct10144763440
92750216117
101100212000
1151504a618
12268560914
13146c26324
14a6195c76
15668c8b1a
hex4193e720

1100212000 has 48 divisors (see below), whose sum is σ = 2703230712. Its totient is φ = 440083200.

The previous prime is 1100211989. The next prime is 1100212013. The reversal of 1100212000 is 2120011.

It can be written as a sum of positive squares in 4 ways, for example, as 287505936 + 812706064 = 16956^2 + 28508^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133527 + ... + 141526.

Almost surely, 21100212000 is an apocalyptic number.

1100212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100212000 is an abundant number, since it is smaller than the sum of its proper divisors (1603018712).

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

1100212000 is an equidigital number, since it uses as much as digits as its factorization.

1100212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275078 (or 275060 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1100212000 is about 33169.4437698313. The cubic root of 1100212000 is about 1032.3464273736.

Adding to 1100212000 its reverse (2120011), we get a palindrome (1102332011).

It can be divided in two parts, 1 and 100212000, that added together give a palindrome (100212001).

The spelling of 1100212000 in words is "one billion, one hundred million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 275053 550106 1100212 1375265 2200424 2750530 4400848 5501060 6876325 8801696 11002120 13752650 22004240 27505300 34381625 44008480 55010600 68763250 110021200 137526500 220042400 275053000 550106000 1100212000