Base | Representation |
---|---|
bin | 11011110100001000111001… |
… | …111010011000101010000010 |
3 | 121001010122201001212200212100 |
4 | 123310020321322120222002 |
5 | 112013224302403200310 |
6 | 1112101422031411230 |
7 | 34524032066404344 |
oct | 3364107172305202 |
9 | 531118631780770 |
10 | 122330230131330 |
11 | 35a83a60848401 |
12 | 11878502683b16 |
13 | 53348ca75ba00 |
14 | 222cb59893294 |
15 | e22153c27ec0 |
hex | 6f4239e98a82 |
122330230131330 has 288 divisors, whose sum is σ = 344993564313216. Its totient is φ = 30060794290176.
The previous prime is 122330230131323. The next prime is 122330230131337. The reversal of 122330230131330 is 33131032033221.
122330230131330 is a `hidden beast` number, since 1 + 2 + 23 + 3 + 0 + 2 + 301 + 3 + 1 + 330 = 666.
It is an interprime number because it is at equal distance from previous prime (122330230131323) and next prime (122330230131337).
It is a junction number, because it is equal to n+sod(n) for n = 122330230131294 and 122330230131303.
It is not an unprimeable number, because it can be changed into a prime (122330230131337) by changing a digit.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28561807369 + ... + 28561811651.
It is an arithmetic number, because the mean of its divisors is an integer number (1197894320532).
Almost surely, 2122330230131330 is an apocalyptic number.
122330230131330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 122330230131330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172496782156608).
122330230131330 is an abundant number, since it is smaller than the sum of its proper divisors (222663334181886).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122330230131330 is a wasteful number, since it uses less digits than its factorization.
122330230131330 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7082 (or 7066 counting only the distinct ones).
The product of its (nonzero) digits is 5832, while the sum is 27.
Adding to 122330230131330 its reverse (33131032033221), we get a palindrome (155461262164551).
The spelling of 122330230131330 in words is "one hundred twenty-two trillion, three hundred thirty billion, two hundred thirty million, one hundred thirty-one thousand, three hundred thirty".
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