Search a number
-
+
12122102102053 is a prime number
BaseRepresentation
bin1011000001100110010110…
…0101101111100000100101
31120220212021010201120012111
42300121211211233200211
53042102031114231203
641440452233521021
72360535663525226
oct260314545574045
946825233646174
1012122102102053
113953a55683349
121439417573171
1369c15624c808
142dc9da19b24d
151604cc70626d
hexb066596f825

12122102102053 has 2 divisors, whose sum is σ = 12122102102054. Its totient is φ = 12122102102052.

The previous prime is 12122102101969. The next prime is 12122102102059. The reversal of 12122102102053 is 35020120122121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6915390462369 + 5206711639684 = 2629713^2 + 2281822^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12122102102053 is a prime.

It is a super-2 number, since 2×121221021020532 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12122102102059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061051051026 + 6061051051027.

It is an arithmetic number, because the mean of its divisors is an integer number (6061051051027).

Almost surely, 212122102102053 is an apocalyptic number.

It is an amenable number.

12122102102053 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122102102053 is an equidigital number, since it uses as much as digits as its factorization.

12122102102053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 12122102102053 its reverse (35020120122121), we get a palindrome (47142222224174).

The spelling of 12122102102053 in words is "twelve trillion, one hundred twenty-two billion, one hundred two million, one hundred two thousand, fifty-three".