Search a number
-
+
1221011114737 is a prime number
BaseRepresentation
bin10001110001001001111…
…011110000101011110001
311022201122100211022220011
4101301021323300223301
5130001112321132422
62332531425414521
7154133536142221
oct21611173605361
94281570738804
101221011114737
11430911a40627
1217878219a441
138b1aa5c188b
1443150c12081
1521b645d1077
hex11c49ef0af1

1221011114737 has 2 divisors, whose sum is σ = 1221011114738. Its totient is φ = 1221011114736.

The previous prime is 1221011114693. The next prime is 1221011114759. The reversal of 1221011114737 is 7374111101221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 725283876496 + 495727238241 = 851636^2 + 704079^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1221011114737 is a prime.

It is a super-2 number, since 2×12210111147372 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1221011114699 and 1221011114708.

It is not a weakly prime, because it can be changed into another prime (1221011114137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 610505557368 + 610505557369.

It is an arithmetic number, because the mean of its divisors is an integer number (610505557369).

Almost surely, 21221011114737 is an apocalyptic number.

It is an amenable number.

1221011114737 is a deficient number, since it is larger than the sum of its proper divisors (1).

1221011114737 is an equidigital number, since it uses as much as digits as its factorization.

1221011114737 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2352, while the sum is 31.

Adding to 1221011114737 its reverse (7374111101221), we get a palindrome (8595122215958).

The spelling of 1221011114737 in words is "one trillion, two hundred twenty-one billion, eleven million, one hundred fourteen thousand, seven hundred thirty-seven".