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10103315441 = 17260158169
BaseRepresentation
bin10010110100011010…
…00101101111110001
3222002010011121021012
421122031011233301
5131142422043231
64350313040305
7505240523102
oct113215055761
928063147235
1010103315441
11431507047a
121b5b6b6095
13c5022207b
146bbb783a9
153e1eb9e2b
hex25a345bf1

10103315441 has 12 divisors (see below), whose sum is σ = 10750630380. Its totient is φ = 9493017600.

The previous prime is 10103315401. The next prime is 10103315449. The reversal of 10103315441 is 14451330101.

It is a happy number.

10103315441 is digitally balanced in base 3, 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 6 ways, for example, as 1379008225 + 8724307216 = 37135^2 + 93404^2 .

It is not a de Polignac number, because 10103315441 - 226 = 10036206577 is a prime.

It is a super-3 number, since 3×101033154413 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10103315449) 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, 144605 + ... + 202773.

It is an arithmetic number, because the mean of its divisors is an integer number (895885865).

Almost surely, 210103315441 is an apocalyptic number.

It is an amenable number.

10103315441 is a deficient number, since it is larger than the sum of its proper divisors (647314939).

10103315441 is an equidigital number, since it uses as much as digits as its factorization.

10103315441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58804 (or 58787 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 10103315441 its reverse (14451330101), we get a palindrome (24554645542).

The spelling of 10103315441 in words is "ten billion, one hundred three million, three hundred fifteen thousand, four hundred forty-one".

Divisors: 1 17 289 601 10217 58169 173689 988873 16810841 34959569 594312673 10103315441