Search a number
-
+
11010000001 = 7111321018377
BaseRepresentation
bin10100100000011111…
…10100010010000001
31001102022020221122211
422100033310102001
5140022030000001
65020302302121
7536560312240
oct122017642201
931368227584
1011010000001
11473a948a60
122173287941
131066019200
14766354957
154468b7351
hex2903f4481

11010000001 has 48 divisors (see below), whose sum is σ = 15012839808. Its totient is φ = 7839936000.

The previous prime is 11009999981. The next prime is 11010000013. The reversal of 11010000001 is 10000001011.

It is not a de Polignac number, because 11010000001 - 29 = 11009999489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11010000101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1310125 + ... + 1318501.

It is an arithmetic number, because the mean of its divisors is an integer number (312767496).

Almost surely, 211010000001 is an apocalyptic number.

11010000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11010000001 is a deficient number, since it is larger than the sum of its proper divisors (4002839807).

11010000001 is a wasteful number, since it uses less digits than its factorization.

11010000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8522 (or 8509 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 11010000001 its reverse (10000001011), we get a palindrome (21010001012).

The spelling of 11010000001 in words is "eleven billion, ten million, one", and thus it is an aban number and an uban number.

Divisors: 1 7 11 13 77 91 101 143 169 707 1001 1111 1183 1313 1859 7777 8377 9191 13013 14443 17069 58639 92147 101101 108901 119483 187759 645029 762307 846077 1197911 1314313 1415713 5922539 8385377 9306847 9909991 10999001 15572843 65147929 76993007 109009901 120989011 142987013 846923077 1000909091 1572857143 11010000001