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10214409977 is a prime number
BaseRepresentation
bin10011000001101001…
…11000011011111001
3222100212012210022122
421200310320123321
5131404342104402
64405322131025
7511060023632
oct114064703371
928325183278
1010214409977
11437184a442
121b90950a75
13c6a24b695
146cc816889
153ebb11ca2
hex260d386f9

10214409977 has 2 divisors, whose sum is σ = 10214409978. Its totient is φ = 10214409976.

The previous prime is 10214409943. The next prime is 10214410021. The reversal of 10214409977 is 77990441201.

10214409977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (10214410021) can be obtained adding 10214409977 to its sum of digits (44).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5204035321 + 5010374656 = 72139^2 + 70784^2 .

It is an emirp because it is prime and its reverse (77990441201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10214409977 - 214 = 10214393593 is a prime.

It is not a weakly prime, because it can be changed into another prime (10214403977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5107204988 + 5107204989.

It is an arithmetic number, because the mean of its divisors is an integer number (5107204989).

Almost surely, 210214409977 is an apocalyptic number.

It is an amenable number.

10214409977 is a deficient number, since it is larger than the sum of its proper divisors (1).

10214409977 is an equidigital number, since it uses as much as digits as its factorization.

10214409977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 127008, while the sum is 44.

The spelling of 10214409977 in words is "ten billion, two hundred fourteen million, four hundred nine thousand, nine hundred seventy-seven".