Search a number
-
+
10007103581 = 14976738753
BaseRepresentation
bin10010101000111100…
…00100100001011101
3221211102010112101222
421110132010201131
5130443304303311
64332554543125
7502661656046
oct112436044135
927742115358
1010007103581
114275827042
121b33437aa5
13c36306887
146ad0918cd
153d8812adb
hex25478485d

10007103581 has 8 divisors (see below), whose sum is σ = 10076729400. Its totient is φ = 9937510912.

The previous prime is 10007103571. The next prime is 10007103593. The reversal of 10007103581 is 18530170001.

It can be written as a sum of positive squares in 4 ways, for example, as 1908903481 + 8098200100 = 43691^2 + 89990^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10007103581 - 210 = 10007102557 is a prime.

It is a super-2 number, since 2×100071035812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10007103581.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10007103571) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1138901 + ... + 1147653.

It is an arithmetic number, because the mean of its divisors is an integer number (1259591175).

Almost surely, 210007103581 is an apocalyptic number.

It is an amenable number.

10007103581 is a deficient number, since it is larger than the sum of its proper divisors (69625819).

10007103581 is an equidigital number, since it uses as much as digits as its factorization.

10007103581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16575.

The product of its (nonzero) digits is 840, while the sum is 26.

Adding to 10007103581 its reverse (18530170001), we get a palindrome (28537273582).

The spelling of 10007103581 in words is "ten billion, seven million, one hundred three thousand, five hundred eighty-one".

Divisors: 1 149 7673 8753 1143277 1304197 67161769 10007103581