Search a number
-
+
3301001122122 = 2321149133954629
BaseRepresentation
bin110000000010010010111…
…111111101000101001010
3102200120110102222120120100
4300002102333331011022
5413040422241401442
611004243050110230
7460326612403014
oct60022277750512
912616412876510
103301001122122
111062a46092930
1245390a71b376
131ac38ab9c662
14b5aaad991b4
155aceec5684c
hex30092ffd14a

3301001122122 has 48 divisors (see below), whose sum is σ = 7818257285280. Its totient is φ = 998266063200.

The previous prime is 3301001122117. The next prime is 3301001122141. The reversal of 3301001122122 is 2212211001033.

3301001122122 is a `hidden beast` number, since 330 + 10 + 0 + 112 + 212 + 2 = 666.

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 = 3301001122095 and 3301001122104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16880097 + ... + 17074532.

It is an arithmetic number, because the mean of its divisors is an integer number (162880360110).

Almost surely, 23301001122122 is an apocalyptic number.

3301001122122 is an abundant number, since it is smaller than the sum of its proper divisors (4517256163158).

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

3301001122122 is a wasteful number, since it uses less digits than its factorization.

3301001122122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33955139 (or 33955136 counting only the distinct ones).

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

Adding to 3301001122122 its reverse (2212211001033), we get a palindrome (5513212123155).

The spelling of 3301001122122 in words is "three trillion, three hundred one billion, one million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 491 982 1473 2946 4419 5401 8838 10802 16203 32406 48609 97218 33954629 67909258 101863887 203727774 305591661 373500919 611183322 747001838 1120502757 2241005514 3361508271 6723016542 16671722839 33343445678 50015168517 100030337034 150045505551 183388951229 300091011102 366777902458 550166853687 1100333707374 1650500561061 3301001122122