Search a number
-
+
1000010011122 = 23276173004089
BaseRepresentation
bin11101000110101010011…
…11011101000111110010
310112121012102021001011100
432203111033131013302
5112341010030323442
62043222005025230
7132151115562663
oct16432517350762
93477172231140
101000010011122
11356113643451
121419853b5216
13733ba392495
14365878d136a
151b02c59284c
hexe8d53dd1f2

1000010011122 has 24 divisors (see below), whose sum is σ = 2169535546620. Its totient is φ = 332898641280.

The previous prime is 1000010011081. The next prime is 1000010011123. The reversal of 1000010011122 is 2211100100001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 602531460441 + 397478550681 = 776229^2 + 630459^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1000010011123) 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 11 ways as a sum of consecutive naturals, for example, 36488347 + ... + 36515742.

Almost surely, 21000010011122 is an apocalyptic number.

1000010011122 is an abundant number, since it is smaller than the sum of its proper divisors (1169525535498).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1000010011122 is a wasteful number, since it uses less digits than its factorization.

1000010011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73004858 (or 73004855 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1000010011122 its reverse (2211100100001), we get a palindrome (3211110111123).

The spelling of 1000010011122 in words is "one trillion, ten million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 761 1522 2283 4566 6849 13698 73004089 146008178 219012267 438024534 657036801 1314073602 55556111729 111112223458 166668335187 333336670374 500005005561 1000010011122