Search a number
-
+
20111220112253 is a prime number
BaseRepresentation
bin1001001001010100000100…
…01000010111101101111101
32122012121120111201121101112
410210222002020113231331
510114000234322043003
6110434544511051405
74143662532254624
oct444520210275575
978177514647345
1020111220112253
116454136500586
122309832b10b65
13b2b6314c764a
144d75614c86bb
1524d21413d3d8
hex124a82217b7d

20111220112253 has 2 divisors, whose sum is σ = 20111220112254. Its totient is φ = 20111220112252.

The previous prime is 20111220112163. The next prime is 20111220112259. The reversal of 20111220112253 is 35221102211102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18899730253924 + 1211489858329 = 4347382^2 + 1100677^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20111220112253 is a prime.

It is a super-2 number, since 2×201112201122532 (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 (20111220112259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10055610056126 + 10055610056127.

It is an arithmetic number, because the mean of its divisors is an integer number (10055610056127).

Almost surely, 220111220112253 is an apocalyptic number.

It is an amenable number.

20111220112253 is a deficient number, since it is larger than the sum of its proper divisors (1).

20111220112253 is an equidigital number, since it uses as much as digits as its factorization.

20111220112253 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 23.

Adding to 20111220112253 its reverse (35221102211102), we get a palindrome (55332322323355).

The spelling of 20111220112253 in words is "twenty trillion, one hundred eleven billion, two hundred twenty million, one hundred twelve thousand, two hundred fifty-three".