Search a number
-
+
3013011123300 = 223252101158320939
BaseRepresentation
bin101011110110000101011…
…101010010110001100100
3101200001002220222211012200
4223312011131102301210
5343331121321421200
610224054101014500
7430453136660133
oct53660535226144
911601086884180
103013011123300
11a618a1259242
12407b373b4430
1318b1832c7829
14a5b8ad1991a
1553596b41800
hex2bd85752c64

3013011123300 has 216 divisors, whose sum is σ = 9544102888320. Its totient is φ = 794973984000.

The previous prime is 3013011123299. The next prime is 3013011123301. The reversal of 3013011123300 is 33211103103.

It is a happy number.

3013011123300 is a `hidden beast` number, since 30 + 1 + 301 + 1 + 1 + 2 + 330 + 0 = 666.

3013011123300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3013011123299) and next prime (3013011123301).

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

It is not an unprimeable number, because it can be changed into a prime (3013011123301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 143884231 + ... + 143905169.

It is an arithmetic number, because the mean of its divisors is an integer number (44185661520).

Almost surely, 23013011123300 is an apocalyptic number.

3013011123300 is a gapful number since it is divisible by the number (30) 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 3013011123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4772051444160).

3013011123300 is an abundant number, since it is smaller than the sum of its proper divisors (6531091765020).

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

3013011123300 is a wasteful number, since it uses less digits than its factorization.

3013011123300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22643 (or 22633 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 3013011123300 its reverse (33211103103), we get a palindrome (3046222226403).

The spelling of 3013011123300 in words is "three trillion, thirteen billion, eleven million, one hundred twenty-three thousand, three hundred".