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122221330001 = 1922377142433
BaseRepresentation
bin111000111010011110…
…1010111111001010001
3102200110210222212101222
41301310331113321101
54000302130030001
6132051523134425
711554521110111
oct1616475277121
9380423885358
10122221330001
1147919833241
121b82b814415
13b6aa476614
145cb6377041
1532a4ed761b
hex1c74f57e51

122221330001 has 12 divisors (see below), whose sum is σ = 129047767812. Its totient is φ = 115739103744.

The previous prime is 122221329977. The next prime is 122221330003. The reversal of 122221330001 is 100033122221.

It can be written as a sum of positive squares in 2 ways, for example, as 73820890000 + 48400440001 = 271700^2 + 220001^2 .

It is not a de Polignac number, because 122221330001 - 234 = 105041460817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122221330003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 786881 + ... + 929313.

It is an arithmetic number, because the mean of its divisors is an integer number (10753980651).

Almost surely, 2122221330001 is an apocalyptic number.

It is an amenable number.

122221330001 is a deficient number, since it is larger than the sum of its proper divisors (6826437811).

122221330001 is a wasteful number, since it uses less digits than its factorization.

122221330001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144848 (or 144829 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 122221330001 its reverse (100033122221), we get a palindrome (222254452222).

The spelling of 122221330001 in words is "one hundred twenty-two billion, two hundred twenty-one million, three hundred thirty thousand, one".

Divisors: 1 19 361 2377 45163 142433 858097 2706227 51418313 338563241 6432701579 122221330001