Search a number
-
+
1301003312221 is a prime number
BaseRepresentation
bin10010111011101001110…
…101110001110001011101
311121101010011020222212001
4102323221311301301131
5132303423321442341
62433401144042301
7162665034456034
oct22735165616135
94541104228761
101301003312221
114618304a8548
12190187463391
13958b7c24102
1446d7c91971b
1523c9705cd31
hex12ee9d71c5d

1301003312221 has 2 divisors, whose sum is σ = 1301003312222. Its totient is φ = 1301003312220.

The previous prime is 1301003312173. The next prime is 1301003312261. The reversal of 1301003312221 is 1222133001031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1296512436025 + 4490876196 = 1138645^2 + 67014^2 .

It is a cyclic number.

It is not a de Polignac number, because 1301003312221 - 219 = 1301002787933 is a prime.

It is a super-3 number, since 3×13010033122213 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1301003312261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 650501656110 + 650501656111.

It is an arithmetic number, because the mean of its divisors is an integer number (650501656111).

Almost surely, 21301003312221 is an apocalyptic number.

It is an amenable number.

1301003312221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1301003312221 is an equidigital number, since it uses as much as digits as its factorization.

1301003312221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1301003312221 its reverse (1222133001031), we get a palindrome (2523136313252).

The spelling of 1301003312221 in words is "one trillion, three hundred one billion, three million, three hundred twelve thousand, two hundred twenty-one".