Search a number
-
+
305505505049 is a prime number
BaseRepresentation
bin1000111001000011000…
…11000000111100011001
31002012120012111122212112
410130201203000330121
520001133402130144
6352203003122105
731033465642433
oct4344143007431
91065505448775
10305505505049
11108622990778
124b261213335
1322a6961c1c4
1410b023cd653
157e30bb999e
hex47218c0f19

305505505049 has 2 divisors, whose sum is σ = 305505505050. Its totient is φ = 305505505048.

The previous prime is 305505504961. The next prime is 305505505069. The reversal of 305505505049 is 940505505503.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 214699709449 + 90805795600 = 463357^2 + 301340^2 .

It is a cyclic number.

It is not a de Polignac number, because 305505505049 - 232 = 301210537753 is a prime.

It is a super-2 number, since 2×3055055050492 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 305505504997 and 305505505015.

It is not a weakly prime, because it can be changed into another prime (305505505069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 152752752524 + 152752752525.

It is an arithmetic number, because the mean of its divisors is an integer number (152752752525).

Almost surely, 2305505505049 is an apocalyptic number.

It is an amenable number.

305505505049 is a deficient number, since it is larger than the sum of its proper divisors (1).

305505505049 is an equidigital number, since it uses as much as digits as its factorization.

305505505049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 337500, while the sum is 41.

The spelling of 305505505049 in words is "three hundred five billion, five hundred five million, five hundred five thousand, forty-nine".