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11032100300100 = 223521119476016229
BaseRepresentation
bin1010000010001001110001…
…1010110110010101000100
31110001122210001000212210010
42200202130122312111010
52421222220134100400
635244024340230220
72216020505216145
oct240423432662504
943048701025703
1011032100300100
113573762016550
1212a211809b370
13620426980779
142a1d56907acc
15141e848a9450
hexa089c6b6544

11032100300100 has 576 divisors, whose sum is σ = 37502199705600. Its totient is φ = 2475256320000.

The previous prime is 11032100300093. The next prime is 11032100300129. The reversal of 11032100300100 is 100300123011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1771083786 + ... + 1771090014.

It is an arithmetic number, because the mean of its divisors is an integer number (65107985600).

Almost surely, 211032100300100 is an apocalyptic number.

11032100300100 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 11032100300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18751099852800).

11032100300100 is an abundant number, since it is smaller than the sum of its proper divisors (26470099405500).

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

11032100300100 is a wasteful number, since it uses less digits than its factorization.

11032100300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6924 (or 6917 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11032100300100 its reverse (100300123011), we get a palindrome (11132400423111).

The spelling of 11032100300100 in words is "eleven trillion, thirty-two billion, one hundred million, three hundred thousand, one hundred".