Search a number
-
+
1009190910091 = 72133474565669
BaseRepresentation
bin11101010111110000111…
…01110011100010001011
310120110220020202000220111
432223320131303202023
5113013310333110331
62051341011335151
7132624456125200
oct16537035634213
93513806660814
101009190910091
11359aa4a60761
12143707bb14b7
137422146c890
1436bb8d55ca7
151b3b85a3db1
hexeaf877388b

1009190910091 has 24 divisors (see below), whose sum is σ = 1267904821680. Its totient is φ = 796179448512.

The previous prime is 1009190909981. The next prime is 1009190910173. The reversal of 1009190910091 is 1900190919001.

It is a de Polignac number, because none of the positive numbers 2k-1009190910091 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1009190914091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2061796 + ... + 2503873.

It is an arithmetic number, because the mean of its divisors is an integer number (52829367570).

Almost surely, 21009190910091 is an apocalyptic number.

1009190910091 is a deficient number, since it is larger than the sum of its proper divisors (258713911589).

1009190910091 is a wasteful number, since it uses less digits than its factorization.

1009190910091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4566043 (or 4566036 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 40.

The spelling of 1009190910091 in words is "one trillion, nine billion, one hundred ninety million, nine hundred ten thousand, ninety-one".

Divisors: 1 7 13 49 91 347 637 2429 4511 17003 31577 221039 4565669 31959683 59353697 223717781 415475879 1584287143 2908331153 11090010001 20595732859 77630070007 144170130013 1009190910091