Search a number
-
+
10420311041 = 721712509377
BaseRepresentation
bin10011011010001100…
…10101010000000001
3222220012122122110222
421231012111100001
5132320044423131
64441555232425
7516140116400
oct115506252001
928805578428
1010420311041
114467aa2a08
1220298a8715
13ca0ac092a
1470bcd3637
1540ec3487b
hex26d195401

10420311041 has 12 divisors (see below), whose sum is σ = 12834621828. Its totient is φ = 8406300672.

The previous prime is 10420311017. The next prime is 10420311043. The reversal of 10420311041 is 14011302401.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8976615025 + 1443696016 = 94745^2 + 37996^2 .

It is not a de Polignac number, because 10420311041 - 218 = 10420048897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (10420311043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6253856 + ... + 6255521.

It is an arithmetic number, because the mean of its divisors is an integer number (1069551819).

Almost surely, 210420311041 is an apocalyptic number.

It is an amenable number.

10420311041 is a deficient number, since it is larger than the sum of its proper divisors (2414310787).

10420311041 is a wasteful number, since it uses less digits than its factorization.

10420311041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12509408 (or 12509401 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10420311041 its reverse (14011302401), we get a palindrome (24431613442).

The spelling of 10420311041 in words is "ten billion, four hundred twenty million, three hundred eleven thousand, forty-one".

Divisors: 1 7 17 49 119 833 12509377 87565639 212659409 612959473 1488615863 10420311041