Search a number
-
+
10011110001009 = 3134712494372777
BaseRepresentation
bin1001000110101110010010…
…1001111100100101110001
31022110001102110122210002020
42101223210221330211301
52303010223130013014
633143012422542053
72052164431654635
oct221534451744561
938401373583066
1010011110001009
11320a762674237
121158278597929
13578074ab8810
1426877c874dc5
1512562a4b01a9
hex91ae4a7c971

10011110001009 has 32 divisors (see below), whose sum is σ = 14692534080000. Its totient is φ = 6024775790592.

The previous prime is 10011110001007. The next prime is 10011110001031. The reversal of 10011110001009 is 90010001111001.

10011110001009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10011110001009 - 21 = 10011110001007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10011110001007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103029 + ... + 4475805.

It is an arithmetic number, because the mean of its divisors is an integer number (459141690000).

Almost surely, 210011110001009 is an apocalyptic number.

It is an amenable number.

10011110001009 is a deficient number, since it is larger than the sum of its proper divisors (4681424078991).

10011110001009 is a wasteful number, since it uses less digits than its factorization.

10011110001009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4374089.

The product of its (nonzero) digits is 9, while the sum is 15.

The spelling of 10011110001009 in words is "ten trillion, eleven billion, one hundred ten million, one thousand, nine".

Divisors: 1 3 13 39 47 141 611 1249 1833 3747 16237 48711 58703 176109 763139 2289417 4372777 13118331 56846101 170538303 205520519 616561557 2671766747 5461598473 8015300241 16384795419 71000780149 213002340447 256695128231 770085384693 3337036667003 10011110001009