Search a number
-
+
11056243144001 = 112101904692181
BaseRepresentation
bin1010000011100011101101…
…1100011111010101000001
31110010222002121001102110212
42200320323130133111001
52422121141221102001
635303100141203505
72220534004053146
oct240707334372501
943128077042425
1011056243144001
113582a21023500
1212a6935560595
136227a3741713
142a31a70c83cd
151428e91b47bb
hexa0e3b71f541

11056243144001 has 12 divisors (see below), whose sum is σ = 12273054141012. Its totient is φ = 9951613980000.

The previous prime is 11056243143991. The next prime is 11056243144003. The reversal of 11056243144001 is 10044134265011.

11056243144001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7004782689025 + 4051460454976 = 2646655^2 + 2012824^2 .

It is not a de Polignac number, because 11056243144001 - 226 = 11056176035137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11056243144003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 452333870 + ... + 452358311.

It is an arithmetic number, because the mean of its divisors is an integer number (1022754511751).

Almost surely, 211056243144001 is an apocalyptic number.

11056243144001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11056243144001 is a deficient number, since it is larger than the sum of its proper divisors (1216810997011).

11056243144001 is a wasteful number, since it uses less digits than its factorization.

11056243144001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904692304 (or 904692293 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 11056243144001 in words is "eleven trillion, fifty-six billion, two hundred forty-three million, one hundred forty-four thousand, one".

Divisors: 1 11 101 121 1111 12221 904692181 9951613991 91373910281 109467753901 1005113013091 11056243144001