Search a number
-
+
2003023113120 = 253252367902653
BaseRepresentation
bin11101001001011101011…
…110110010101110100000
321002111011010100220112200
4131021131132302232200
5230304142404104440
64132102012453200
7264466531353651
oct35113536625640
97074133326480
102003023113120
11702528368487
1228424847a200
13116b6597bcc3
146cd38191528
15371835d9c30
hex1d25d7b2ba0

2003023113120 has 288 divisors, whose sum is σ = 7238967345792. Its totient is φ = 503289870336.

The previous prime is 2003023113083. The next prime is 2003023113137. The reversal of 2003023113120 is 213113203002.

2003023113120 is a `hidden beast` number, since 2 + 0 + 0 + 302 + 311 + 31 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×20030231131202 (a number of 25 digits) contains 22 as substring.

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 = 2003023113093 and 2003023113102.

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, 1767714 + ... + 2670366.

It is an arithmetic number, because the mean of its divisors is an integer number (25135303284).

Almost surely, 22003023113120 is an apocalyptic number.

2003023113120 is a gapful number since it is divisible by the number (20) 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 2003023113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619483672896).

2003023113120 is an abundant number, since it is smaller than the sum of its proper divisors (5235944232672).

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

2003023113120 is a wasteful number, since it uses less digits than its factorization.

2003023113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902764 (or 902753 counting only the distinct ones).

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

Adding to 2003023113120 its reverse (213113203002), we get a palindrome (2216136316122).

The spelling of 2003023113120 in words is "two trillion, three billion, twenty-three million, one hundred thirteen thousand, one hundred twenty".