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10011111010081 is a prime number
BaseRepresentation
bin1001000110101110010010…
…1101110010111100100001
31022110001102112120001021021
42101223210231302330201
52303010223404310311
633143012500325441
72052164443356556
oct221534455627441
938401375501237
1010011111010081
11320a7631a3385
1211582789a3881
1357807507cbbc
1426877ca58a2d
1512562a60e171
hex91ae4b72f21

10011111010081 has 2 divisors, whose sum is σ = 10011111010082. Its totient is φ = 10011111010080.

The previous prime is 10011111010039. The next prime is 10011111010169. The reversal of 10011111010081 is 18001011111001.

10011111010081 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., 7565277755025 + 2445833255056 = 2750505^2 + 1563916^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011111010081 - 211 = 10011111008033 is a prime.

It is a super-2 number, since 2×100111110100812 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10011111011081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005555505040 + 5005555505041.

It is an arithmetic number, because the mean of its divisors is an integer number (5005555505041).

Almost surely, 210011111010081 is an apocalyptic number.

It is an amenable number.

10011111010081 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011111010081 is an equidigital number, since it uses as much as digits as its factorization.

10011111010081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 10011111010081 its reverse (18001011111001), we get a palindrome (28012122121082).

The spelling of 10011111010081 in words is "ten trillion, eleven billion, one hundred eleven million, ten thousand, eighty-one".