Search a number
-
+
1100310304212 = 22327232934918757
BaseRepresentation
bin10000000000101111100…
…110101101010111010100
310220012002111221212002100
4100000233212231113110
5121011413414213322
62201250420242100
7142331500161360
oct20005746552724
93805074855070
101100310304212
11394703533159
121592b7840330
137c9b3173232
143b3807a02a0
151d94cd47dac
hex1002f9ad5d4

1100310304212 has 288 divisors, whose sum is σ = 3441267648000. Its totient is φ = 289489406976.

The previous prime is 1100310304207. The next prime is 1100310304277. The reversal of 1100310304212 is 2124030130011.

1100310304212 is a `hidden beast` number, since 110 + 0 + 310 + 30 + 4 + 212 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 58651938 + ... + 58670694.

It is an arithmetic number, because the mean of its divisors is an integer number (11948846000).

Almost surely, 21100310304212 is an apocalyptic number.

1100310304212 is a gapful number since it is divisible by the number (12) 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 1100310304212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720633824000).

1100310304212 is an abundant number, since it is smaller than the sum of its proper divisors (2340957343788).

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

1100310304212 is a wasteful number, since it uses less digits than its factorization.

1100310304212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19175 (or 19170 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1100310304212 its reverse (2124030130011), we get a palindrome (3224340434223).

The spelling of 1100310304212 in words is "one trillion, one hundred billion, three hundred ten million, three hundred four thousand, two hundred twelve".