Search a number
-
+
2122624263301 is a prime number
BaseRepresentation
bin11110111000110110010…
…000111110010010000101
321111220212100000211221121
4132320312100332102011
5234234113302411201
64303041540313541
7306232415354623
oct36706620762205
97456770024847
102122624263301
11749222072853
122a34666a28b1
13125216338459
1474a42552513
153a3335579a1
hex1ee3643e485

2122624263301 has 2 divisors, whose sum is σ = 2122624263302. Its totient is φ = 2122624263300.

The previous prime is 2122624263289. The next prime is 2122624263317. The reversal of 2122624263301 is 1033624262212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1439042559201 + 683581704100 = 1199601^2 + 826790^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122624263301 - 25 = 2122624263269 is a prime.

It is a super-2 number, since 2×21226242633012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122624263401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061312131650 + 1061312131651.

It is an arithmetic number, because the mean of its divisors is an integer number (1061312131651).

Almost surely, 22122624263301 is an apocalyptic number.

It is an amenable number.

2122624263301 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122624263301 is an equidigital number, since it uses as much as digits as its factorization.

2122624263301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 2122624263301 in words is "two trillion, one hundred twenty-two billion, six hundred twenty-four million, two hundred sixty-three thousand, three hundred one".