Search a number
-
+
122003023003121 = 1341228898729837
BaseRepresentation
bin11011101111011000001010…
…110110001111110111110001
3120222222101010102221100121002
4123233120022312033313301
5111442344142342044441
61111251225351211345
734461266433612341
oct3357301266176761
9528871112840532
10122003023003121
1135968211966a87
1211825005676b55
13530cab306a890
14221ad991d2d21
15e188a2c1cb9b
hex6ef60ad8fdf1

122003023003121 has 8 divisors (see below), whose sum is σ = 134592453144744. Its totient is φ = 109871390321280.

The previous prime is 122003023003117. The next prime is 122003023003123. The reversal of 122003023003121 is 121300320300221.

It can be written as a sum of positive squares in 4 ways, for example, as 7549635475600 + 114453387527521 = 2747660^2 + 10698289^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122003023003121 - 22 = 122003023003117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122003023003093 and 122003023003102.

It is not an unprimeable number, because it can be changed into a prime (122003023003123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114449364386 + ... + 114449365451.

It is an arithmetic number, because the mean of its divisors is an integer number (16824056643093).

Almost surely, 2122003023003121 is an apocalyptic number.

It is an amenable number.

122003023003121 is a deficient number, since it is larger than the sum of its proper divisors (12589430141623).

122003023003121 is a wasteful number, since it uses less digits than its factorization.

122003023003121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228898729891.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 122003023003121 its reverse (121300320300221), we get a palindrome (243303343303342).

The spelling of 122003023003121 in words is "one hundred twenty-two trillion, three billion, twenty-three million, three thousand, one hundred twenty-one".

Divisors: 1 13 41 533 228898729837 2975683487881 9384847923317 122003023003121