Search a number
-
+
20011332010301 is a prime number
BaseRepresentation
bin1001000110011010000000…
…10101100000000100111101
32121212001202010122021101222
410203031000111200010331
510110331201443312201
6110321025022243125
74133525314354532
oct443150025400475
977761663567358
1020011332010301
116415838253105
1222b23b67264a5
13b220a2c36188
144d27a7274d89
1524a819b5891b
hex12334056013d

20011332010301 has 2 divisors, whose sum is σ = 20011332010302. Its totient is φ = 20011332010300.

The previous prime is 20011332010289. The next prime is 20011332010379. The reversal of 20011332010301 is 10301023311002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12408358502500 + 7602973507801 = 3522550^2 + 2757349^2 .

It is a cyclic number.

It is not a de Polignac number, because 20011332010301 - 242 = 15613285499197 is a prime.

It is a super-2 number, since 2×200113320103012 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20011332010301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20011332010391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10005666005150 + 10005666005151.

It is an arithmetic number, because the mean of its divisors is an integer number (10005666005151).

Almost surely, 220011332010301 is an apocalyptic number.

It is an amenable number.

20011332010301 is a deficient number, since it is larger than the sum of its proper divisors (1).

20011332010301 is an equidigital number, since it uses as much as digits as its factorization.

20011332010301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 20011332010301 its reverse (10301023311002), we get a palindrome (30312355321303).

The spelling of 20011332010301 in words is "twenty trillion, eleven billion, three hundred thirty-two million, ten thousand, three hundred one".