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10011111110001 = 35307631212671
BaseRepresentation
bin1001000110101110010010…
…1110001011010101110001
31022110001102112202010100000
42101223210232023111301
52303010223421010001
633143012502420213
72052164444254101
oct221534456132561
938401375663300
1010011111110001
11320a763261461
121158278a31669
135780750b6521
1426877ca83201
1512562a62da86
hex91ae4b8b571

10011111110001 has 48 divisors (see below), whose sum is σ = 15068828622848. Its totient is φ = 6641760661200.

The previous prime is 10011111109897. The next prime is 10011111110027. The reversal of 10011111110001 is 10001111111001.

10011111110001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10011111110001 - 213 = 10011111101809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10011111110701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46966896 + ... + 47179566.

Almost surely, 210011111110001 is an apocalyptic number.

It is an amenable number.

10011111110001 is a deficient number, since it is larger than the sum of its proper divisors (5057717512847).

10011111110001 is an equidigital number, since it uses as much as digits as its factorization.

10011111110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213624 (or 213612 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10011111110001 its reverse (10001111111001), we get a palindrome (20012222221002).

It can be divided in two parts, 1001111111000 and 1, that added together give a palindrome (1001111111001).

The spelling of 10011111110001 in words is "ten trillion, eleven billion, one hundred eleven million, one hundred ten thousand, one".

Divisors: 1 3 9 27 81 243 307 631 921 1893 2763 5679 8289 17037 24867 51111 74601 153333 193717 212671 581151 638013 1743453 1914039 5230359 5742117 15691077 17226351 47073231 51679053 65289997 134195401 195869991 402586203 587609973 1207758609 1762829919 3623275827 5288489757 10869827481 15865469271 32609482443 41197988107 123593964321 370781892963 1112345678889 3337037036667 10011111110001