Search a number
-
+
11762205107221 is a prime number
BaseRepresentation
bin1010101100101001101000…
…0011101010010000010101
31112122110022022000221020101
42223022122003222100111
53020202444001412341
641003252112134101
72322535256534512
oct253123203522025
945573268027211
1011762205107221
113825361163328
12139b716837331
1367422c11a33a
142c941813a309
15155e6688e831
hexab29a0ea415

11762205107221 has 2 divisors, whose sum is σ = 11762205107222. Its totient is φ = 11762205107220.

The previous prime is 11762205107201. The next prime is 11762205107273. The reversal of 11762205107221 is 12270150226711.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9336355247025 + 2425849860196 = 3055545^2 + 1557514^2 .

It is a cyclic number.

It is not a de Polignac number, because 11762205107221 - 211 = 11762205105173 is a prime.

It is a super-2 number, since 2×117622051072212 (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 (11762205107201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5881102553610 + 5881102553611.

It is an arithmetic number, because the mean of its divisors is an integer number (5881102553611).

Almost surely, 211762205107221 is an apocalyptic number.

It is an amenable number.

11762205107221 is a deficient number, since it is larger than the sum of its proper divisors (1).

11762205107221 is an equidigital number, since it uses as much as digits as its factorization.

11762205107221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23520, while the sum is 37.

The spelling of 11762205107221 in words is "eleven trillion, seven hundred sixty-two billion, two hundred five million, one hundred seven thousand, two hundred twenty-one".