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1100023123320 = 2333511671913781
BaseRepresentation
bin10000000000011110011…
…111001100110101111000
310220011100111120112222000
4100000132133030311320
5121010321404421240
62201202121101000
7142321412162322
oct20003637146570
93804314515860
101100023123320
11394576414980
12159237627760
137c968813204
143b3545a6612
151d932a1c430
hex1001e7ccd78

1100023123320 has 256 divisors, whose sum is σ = 4000969728000. Its totient is φ = 266613235200.

The previous prime is 1100023123289. The next prime is 1100023123327. The reversal of 1100023123320 is 233213200011.

1100023123320 is a `hidden beast` number, since 1 + 100 + 0 + 231 + 2 + 332 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1100023123293 and 1100023123302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100023123327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79814830 + ... + 79828610.

It is an arithmetic number, because the mean of its divisors is an integer number (15628788000).

Almost surely, 21100023123320 is an apocalyptic number.

1100023123320 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 1100023123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000484864000).

1100023123320 is an abundant number, since it is smaller than the sum of its proper divisors (2900946604680).

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

1100023123320 is a wasteful number, since it uses less digits than its factorization.

1100023123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20531 (or 20521 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1100023123320 its reverse (233213200011), we get a palindrome (1333236323331).

The spelling of 1100023123320 in words is "one trillion, one hundred billion, twenty-three million, one hundred twenty-three thousand, three hundred twenty".