Search a number
-
+
10011110000985 = 325222469111133
BaseRepresentation
bin1001000110101110010010…
…1001111100100101011001
31022110001102110122210001100
42101223210221330211121
52303010223130012420
633143012422542013
72052164431654602
oct221534451744531
938401373583040
1010011110000985
11320a762674215
121158278597909
13578074ab87c2
1426877c874da9
1512562a4b0190
hex91ae4a7c959

10011110000985 has 12 divisors (see below), whose sum is σ = 17352590668452. Its totient is φ = 5339258667168.

The previous prime is 10011110000971. The next prime is 10011110000999. The reversal of 10011110000985 is 58900001111001.

10011110000985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10011110000971) and next prime (10011110000999).

It can be written as a sum of positive squares in 2 ways, for example, as 6044384512089 + 3966725488896 = 2458533^2 + 1991664^2 .

It is not a de Polignac number, because 10011110000985 - 25 = 10011110000953 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111234555522 + ... + 111234555611.

It is an arithmetic number, because the mean of its divisors is an integer number (1446049222371).

Almost surely, 210011110000985 is an apocalyptic number.

10011110000985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10011110000985 is a deficient number, since it is larger than the sum of its proper divisors (7341480667467).

10011110000985 is a wasteful number, since it uses less digits than its factorization.

10011110000985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222469111144 (or 222469111141 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 27.

Adding to 10011110000985 its reverse (58900001111001), we get a palindrome (68911111111986).

The spelling of 10011110000985 in words is "ten trillion, eleven billion, one hundred ten million, nine hundred eighty-five", and thus it is an aban number.

Divisors: 1 3 5 9 15 45 222469111133 667407333399 1112345555665 2002222000197 3337036666995 10011110000985