Search a number
-
+
3002203210000 = 245411313032039
BaseRepresentation
bin101011101100000001010…
…000011000000100010000
3101122000012200222221101111
4223230001100120010100
5343142003010210000
610215105413543104
7426621252142621
oct53540120300420
911560180887344
103002203210000
11a58255498a95
12405a1b944a94
1318a150116667
14a544376ba48
1553162d96cba
hex2bb01418110

3002203210000 has 200 divisors, whose sum is σ = 7342185248640. Its totient is φ = 1188757248000.

The previous prime is 3002203209979. The next prime is 3002203210003. The reversal of 3002203210000 is 123022003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×30022032100002 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3002203210003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1472388981 + ... + 1472391019.

Almost surely, 23002203210000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3002203210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3671092624320).

3002203210000 is an abundant number, since it is smaller than the sum of its proper divisors (4339982038640).

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

3002203210000 is a wasteful number, since it uses less digits than its factorization.

3002203210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3483 (or 3462 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 3002203210000 its reverse (123022003), we get a palindrome (3002326232003).

The spelling of 3002203210000 in words is "three trillion, two billion, two hundred three million, two hundred ten thousand".