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10113443441 = 2931107105137
BaseRepresentation
bin10010110101100111…
…01110011001110001
3222002211020011021022
421122303232121301
5131203020142231
64351314105225
7505422564563
oct113263563161
928084204238
1010113443441
11431a858822
121b62b7b215
13c52359c7a
146bd253333
153e2d1ac7b
hex25acee671

10113443441 has 16 divisors (see below), whose sum is σ = 10900707840. Its totient is φ = 9361309440.

The previous prime is 10113443407. The next prime is 10113443447. The reversal of 10113443441 is 14434431101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10113443441 - 214 = 10113427057 is a prime.

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 10113443441.

It is not an unprimeable number, because it can be changed into a prime (10113443447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43625 + ... + 148761.

It is an arithmetic number, because the mean of its divisors is an integer number (681294240).

Almost surely, 210113443441 is an apocalyptic number.

It is an amenable number.

10113443441 is a deficient number, since it is larger than the sum of its proper divisors (787264399).

10113443441 is a wasteful number, since it uses less digits than its factorization.

10113443441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105304.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 10113443441 its reverse (14434431101), we get a palindrome (24547874542).

The spelling of 10113443441 in words is "ten billion, one hundred thirteen million, four hundred forty-three thousand, four hundred forty-one".

Divisors: 1 29 31 107 899 3103 3317 96193 105137 3048973 3259247 11249659 94518163 326240111 348739429 10113443441