Search a number
-
+
1100023300200 = 23352111259132383
BaseRepresentation
bin10000000000011110011…
…111111000000001101000
310220011100111220112121010
4100000132133320001220
5121010321431101300
62201202124543520
7142321413530106
oct20003637700150
93804314815533
101100023300200
11394576525860
121592376b1ba0
137c968875886
143b354610c76
151d932a54a50
hex1001e7f8068

1100023300200 has 192 divisors, whose sum is σ = 3723061708800. Its totient is φ = 266458489600.

The previous prime is 1100023300169. The next prime is 1100023300217. The reversal of 1100023300200 is 20033200011.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 8243209 + ... + 8375591.

It is an arithmetic number, because the mean of its divisors is an integer number (19390946400).

Almost surely, 21100023300200 is an apocalyptic number.

1100023300200 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 1100023300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861530854400).

1100023300200 is an abundant number, since it is smaller than the sum of its proper divisors (2623038408600).

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

1100023300200 is a wasteful number, since it uses less digits than its factorization.

1100023300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133672 (or 133663 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 1100023300200 its reverse (20033200011), we get a palindrome (1120056500211).

The spelling of 1100023300200 in words is "one trillion, one hundred billion, twenty-three million, three hundred thousand, two hundred".