Search a number
-
+
10441034300131 = 175323311153753
BaseRepresentation
bin1001011111101111111000…
…1000111111101011100011
31100222011010122002001100221
42113323332020333223203
52332031214240101011
634112313412423511
72125224364135351
oct227737610775343
940864118061327
1010441034300131
113366021735456
121207661317b97
135a977bc05616
142814c4db87d1
151318de02c971
hex97efe23fae3

10441034300131 has 8 divisors (see below), whose sum is σ = 11055243137904. Its totient is φ = 9826828834560.

The previous prime is 10441034300113. The next prime is 10441034300141. The reversal of 10441034300131 is 13100343014401.

It is a happy number.

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 10441034300131 - 237 = 10303595346659 is a prime.

It is a super-4 number, since 4×104410343001314 (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10441034300096 and 10441034300105.

It is not an unprimeable number, because it can be changed into a prime (10441034300101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8472751 + ... + 9626503.

It is an arithmetic number, because the mean of its divisors is an integer number (1381905392238).

Almost surely, 210441034300131 is an apocalyptic number.

10441034300131 is a deficient number, since it is larger than the sum of its proper divisors (614208837773).

10441034300131 is a wasteful number, since it uses less digits than its factorization.

10441034300131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686101.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 10441034300131 its reverse (13100343014401), we get a palindrome (23541377314532).

The spelling of 10441034300131 in words is "ten trillion, four hundred forty-one billion, thirty-four million, three hundred thousand, one hundred thirty-one".

Divisors: 1 17 532331 1153753 9049627 19613801 614178488243 10441034300131