Search a number
-
+
1221131003129 is a prime number
BaseRepresentation
bin10001110001010001000…
…101000110010011111001
311022201221201102021211222
4101301101011012103321
5130001334014100004
62332551351201425
7154136523160112
oct21612105062371
94281851367758
101221131003129
11430973686544
121787b6376275
138b1c93a9a5b
1443162add209
1521b6edb37be
hex11c511464f9

1221131003129 has 2 divisors, whose sum is σ = 1221131003130. Its totient is φ = 1221131003128.

The previous prime is 1221131003117. The next prime is 1221131003161. The reversal of 1221131003129 is 9213001311221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1091707343104 + 129423660025 = 1044848^2 + 359755^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1221131003129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1221131003098 and 1221131003107.

It is not a weakly prime, because it can be changed into another prime (1221131003329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 610565501564 + 610565501565.

It is an arithmetic number, because the mean of its divisors is an integer number (610565501565).

Almost surely, 21221131003129 is an apocalyptic number.

It is an amenable number.

1221131003129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1221131003129 is an equidigital number, since it uses as much as digits as its factorization.

1221131003129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 26.

The spelling of 1221131003129 in words is "one trillion, two hundred twenty-one billion, one hundred thirty-one million, three thousand, one hundred twenty-nine".