Search a number
-
+
10101033120989 is a prime number
BaseRepresentation
bin1001001011111101010001…
…1111011011010011011101
31022202122112100212120122102
42102333110133123103131
52310443403434332424
633252203415254445
72061530005611326
oct222772437332335
938678470776572
1010101033120989
113244907955218
12117179367a425
135836a5a00855
1426cc6d47d44d
15127b3ec027ae
hex92fd47db4dd

10101033120989 has 2 divisors, whose sum is σ = 10101033120990. Its totient is φ = 10101033120988.

The previous prime is 10101033120979. The next prime is 10101033121009. The reversal of 10101033120989 is 98902133010101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9495383405764 + 605649715225 = 3081458^2 + 778235^2 .

It is an emirp because it is prime and its reverse (98902133010101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10101033120989 - 220 = 10101032072413 is a prime.

It is a super-2 number, since 2×101010331209892 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101033120979) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050516560494 + 5050516560495.

It is an arithmetic number, because the mean of its divisors is an integer number (5050516560495).

Almost surely, 210101033120989 is an apocalyptic number.

It is an amenable number.

10101033120989 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101033120989 is an equidigital number, since it uses as much as digits as its factorization.

10101033120989 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 38.

The spelling of 10101033120989 in words is "ten trillion, one hundred one billion, thirty-three million, one hundred twenty thousand, nine hundred eighty-nine".