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11132304100 = 2252758914669
BaseRepresentation
bin10100101111000100…
…10111101011100100
31001201211101122100021
422113202113223210
5140244332212400
65040351524524
7542604011041
oct122742275344
931654348307
1011132304100
1147a2993925
1221a8229744
13108546bab8
147786b01c8
154524c571a
hex297897ae4

11132304100 has 36 divisors (see below), whose sum is σ = 24161930100. Its totient is φ = 4452031360.

The previous prime is 11132304091. The next prime is 11132304103. The reversal of 11132304100 is 140323111.

It can be written as a sum of positive squares in 6 ways, for example, as 1721752036 + 9410552064 = 41494^2 + 97008^2 .

It is not an unprimeable number, because it can be changed into a prime (11132304103) 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, 751566 + ... + 766234.

It is an arithmetic number, because the mean of its divisors is an integer number (671164725).

Almost surely, 211132304100 is an apocalyptic number.

11132304100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11132304100 is an abundant number, since it is smaller than the sum of its proper divisors (13029626000).

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

11132304100 is a wasteful number, since it uses less digits than its factorization.

11132304100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22272 (or 22265 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11132304100 its reverse (140323111), we get a palindrome (11272627211).

The spelling of 11132304100 in words is "eleven billion, one hundred thirty-two million, three hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 7589 14669 15178 29338 30356 37945 58676 73345 75890 146690 151780 189725 293380 366725 379450 733450 758900 1466900 111323041 222646082 445292164 556615205 1113230410 2226460820 2783076025 5566152050 11132304100