Search a number
-
+
1010011041 = 32138632573
BaseRepresentation
bin111100001100111…
…000101110100001
32121101111212200100
4330030320232201
54032030323131
6244120013013
734012644414
oct7414705641
92541455610
101010011041
11479141276
12242301169
13131333a90
14981d5b7b
155da0c7e6
hex3c338ba1

1010011041 has 12 divisors (see below), whose sum is σ = 1571128468. Its totient is φ = 621545184.

The previous prime is 1010011039. The next prime is 1010011049. The reversal of 1010011041 is 1401100101.

1010011041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 690638400 + 319372641 = 26280^2 + 17871^2 .

It is not a de Polignac number, because 1010011041 - 21 = 1010011039 is a prime.

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 (1010011049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4316170 + ... + 4316403.

Almost surely, 21010011041 is an apocalyptic number.

It is an amenable number.

1010011041 is a deficient number, since it is larger than the sum of its proper divisors (561117427).

1010011041 is a wasteful number, since it uses less digits than its factorization.

1010011041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8632592 (or 8632589 counting only the distinct ones).

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

The square root of 1010011041 is about 31780.6708708296. The cubic root of 1010011041 is about 1003.3259395292.

Adding to 1010011041 its reverse (1401100101), we get a palindrome (2411111142).

The spelling of 1010011041 in words is "one billion, ten million, eleven thousand, forty-one".

Divisors: 1 3 9 13 39 117 8632573 25897719 77693157 112223449 336670347 1010011041