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11106100600100 = 225211177915149787
BaseRepresentation
bin1010000110011101011100…
…1011100101110100100100
31110022201210020122121121222
42201213113023211310210
52423430243223200400
635342023331355512
72224250345332052
oct241472713456444
943281706577558
1011106100600100
1135a2086287180
1212b452a752b98
136273baac322c
142a57769111d2
15143d6629e185
hexa19d72e5d24

11106100600100 has 288 divisors, whose sum is σ = 28377343733760. Its totient is φ = 3727975680000.

The previous prime is 11106100600093. The next prime is 11106100600103. The reversal of 11106100600100 is 100600160111.

11106100600100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (11106100600103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 223047407 + ... + 223097193.

It is an arithmetic number, because the mean of its divisors is an integer number (98532443520).

Almost surely, 211106100600100 is an apocalyptic number.

11106100600100 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 11106100600100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14188671866880).

11106100600100 is an abundant number, since it is smaller than the sum of its proper divisors (17271243133660).

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

11106100600100 is a wasteful number, since it uses less digits than its factorization.

11106100600100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50059 (or 50052 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 11106100600100 its reverse (100600160111), we get a palindrome (11206700760211).

The spelling of 11106100600100 in words is "eleven trillion, one hundred six billion, one hundred million, six hundred thousand, one hundred".