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1100320211200 = 28527227257421
BaseRepresentation
bin10000000000110000001…
…100100000000100000000
310220012010012121011220211
4100000300030200010000
5121011423433224300
62201251412443504
7142331650322620
oct20006014400400
93805105534824
101100320211200
1139470908a451
121592bb019594
137c9b5231662
143b381c1c880
151d94db534ba
hex10030320100

1100320211200 has 432 divisors, whose sum is σ = 3145861401984. Its totient is φ = 373240627200.

The previous prime is 1100320211167. The next prime is 1100320211227. The reversal of 1100320211200 is 21120230011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2613586990 + ... + 2613587410.

Almost surely, 21100320211200 is an apocalyptic number.

1100320211200 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 1100320211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572930700992).

1100320211200 is an abundant number, since it is smaller than the sum of its proper divisors (2045541190784).

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

1100320211200 is a wasteful number, since it uses less digits than its factorization.

1100320211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1100320211200 its reverse (21120230011), we get a palindrome (1121440441211).

The spelling of 1100320211200 in words is "one trillion, one hundred billion, three hundred twenty million, two hundred eleven thousand, two hundred".