Search a number
-
+
1000011100001 = 173311031172373
BaseRepresentation
bin11101000110101010100…
…11100110111101100001
310112121012111022100211012
432203111103212331201
5112341010320200001
62043222044230305
7132151131046364
oct16432523467541
93477174270735
101000011100001
11356114217551
1214198583b395
13733ba683ca4
1436587ad60db
151b02c70a2bb
hexe8d54e6f61

1000011100001 has 16 divisors (see below), whose sum is σ = 1063070448768. Its totient is φ = 937427884800.

The previous prime is 1000011099979. The next prime is 1000011100007.

1000011100001 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1000011100001 is a prime.

1000011100001 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000011100007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5715251 + ... + 5887623.

It is an arithmetic number, because the mean of its divisors is an integer number (66441903048).

Almost surely, 21000011100001 is an apocalyptic number.

It is an amenable number.

1000011100001 is a deficient number, since it is larger than the sum of its proper divisors (63059348767).

1000011100001 is a wasteful number, since it uses less digits than its factorization.

1000011100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173752.

The product of its (nonzero) digits is 1, while the sum is 5.

The spelling of 1000011100001 in words is "one trillion, eleven million, one hundred thousand, one".

Divisors: 1 17 331 1031 5627 17527 172373 341261 2930341 5801437 57055463 177716563 969942871 3021181571 58824182353 1000011100001