Search a number
-
+
1017787272349 is a prime number
BaseRepresentation
bin11101100111110001101…
…10010100110010011101
310121022002100022111000211
432303320312110302131
5113133412020203344
62055322013252421
7133350501033631
oct16637066246235
93538070274024
101017787272349
11362706421981
12145306a94111
1374c91406873
14373928dadc1
151b71d0ee334
hexecf8d94c9d

1017787272349 has 2 divisors, whose sum is σ = 1017787272350. Its totient is φ = 1017787272348.

The previous prime is 1017787272347. The next prime is 1017787272371. The reversal of 1017787272349 is 9432727877101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 998364669124 + 19422603225 = 999182^2 + 139365^2 .

It is a cyclic number.

It is not a de Polignac number, because 1017787272349 - 21 = 1017787272347 is a prime.

Together with 1017787272347, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1017787272293 and 1017787272302.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1017787272347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 508893636174 + 508893636175.

It is an arithmetic number, because the mean of its divisors is an integer number (508893636175).

Almost surely, 21017787272349 is an apocalyptic number.

It is an amenable number.

1017787272349 is a deficient number, since it is larger than the sum of its proper divisors (1).

1017787272349 is an equidigital number, since it uses as much as digits as its factorization.

1017787272349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8297856, while the sum is 58.

The spelling of 1017787272349 in words is "one trillion, seventeen billion, seven hundred eighty-seven million, two hundred seventy-two thousand, three hundred forty-nine".