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11332100100 = 22352139271753
BaseRepresentation
bin10101000110111001…
…00010000000000100
31002020202100022221010
422203130202000010
5141202004200400
65112250122220
7550551155466
oct124334420004
932222308833
1011332100100
114895747592
122243120370
1310b7984299
1479703c136
15464cde450
hex2a3722004

11332100100 has 72 divisors (see below), whose sum is σ = 33023546080. Its totient is φ = 3000142080.

The previous prime is 11332100051. The next prime is 11332100107. The reversal of 11332100100 is 100123311.

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

It is not an unprimeable number, because it can be changed into a prime (11332100107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94177 + ... + 177576.

Almost surely, 211332100100 is an apocalyptic number.

11332100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11332100100 is an abundant number, since it is smaller than the sum of its proper divisors (21691445980).

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

11332100100 is a wasteful number, since it uses less digits than its factorization.

11332100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271909 (or 271902 counting only the distinct ones).

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

Adding to 11332100100 its reverse (100123311), we get a palindrome (11432223411).

The spelling of 11332100100 in words is "eleven billion, three hundred thirty-two million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 139 150 278 300 417 556 695 834 1390 1668 2085 2780 3475 4170 6950 8340 10425 13900 20850 41700 271753 543506 815259 1087012 1358765 1630518 2717530 3261036 4076295 5435060 6793825 8152590 13587650 16305180 20381475 27175300 37773667 40762950 75547334 81525900 113321001 151094668 188868335 226642002 377736670 453284004 566605005 755473340 944341675 1133210010 1888683350 2266420020 2833025025 3777366700 5666050050 11332100100