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10111111001 = 31326164871
BaseRepresentation
bin10010110101010101…
…10100111101011001
3222002122211122202122
421122222310331121
5131201421023001
64351152111025
7505364011505
oct113252647531
928078748678
1010111111001
114319505392
121b62235475
13c51a21424
146bcc07305
153e2a09b1b
hex25aab4f59

10111111001 has 4 divisors (see below), whose sum is σ = 10437275904. Its totient is φ = 9784946100.

The previous prime is 10111110979. The next prime is 10111111009. The reversal of 10111111001 is 10011111101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10111111001 - 218 = 10110848857 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10111111001.

It is not an unprimeable number, because it can be changed into a prime (10111111009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 163082405 + ... + 163082466.

It is an arithmetic number, because the mean of its divisors is an integer number (2609318976).

Almost surely, 210111111001 is an apocalyptic number.

It is an amenable number.

10111111001 is a deficient number, since it is larger than the sum of its proper divisors (326164903).

10111111001 is an equidigital number, since it uses as much as digits as its factorization.

10111111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326164902.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10111111001 its reverse (10011111101), we get a palindrome (20122222102).

It can be divided in two parts, 1011111100 and 1, that added together give a palindrome (1011111101).

The spelling of 10111111001 in words is "ten billion, one hundred eleven million, one hundred eleven thousand, one".

Divisors: 1 31 326164871 10111111001