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981335000077 is a prime number
BaseRepresentation
bin11100100011111000001…
…11111100010000001101
310110210222220221012001121
432101330013330100031
5112034233230000302
62030452530440541
7130620252604435
oct16217407742015
93423886835047
10981335000077
1134920002a223
1213a233133151
13717023619a3
14356d55932c5
151a7d7d00e37
hexe47c1fc40d

981335000077 has 2 divisors, whose sum is σ = 981335000078. Its totient is φ = 981335000076.

The previous prime is 981335000047. The next prime is 981335000161. The reversal of 981335000077 is 770000533189.

981335000077 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 963746670436 + 17588329641 = 981706^2 + 132621^2 .

It is a cyclic number.

It is not a de Polignac number, because 981335000077 - 215 = 981334967309 is a prime.

It is a super-2 number, since 2×9813350000772 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 981334999997 and 981335000042.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (981335000047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 490667500038 + 490667500039.

It is an arithmetic number, because the mean of its divisors is an integer number (490667500039).

Almost surely, 2981335000077 is an apocalyptic number.

It is an amenable number.

981335000077 is a deficient number, since it is larger than the sum of its proper divisors (1).

981335000077 is an equidigital number, since it uses as much as digits as its factorization.

981335000077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 158760, while the sum is 43.

The spelling of 981335000077 in words is "nine hundred eighty-one billion, three hundred thirty-five million, seventy-seven", and thus it is an aban number.