Search a number
-
+
10506220411341 = 3177123912140039
BaseRepresentation
bin1001100011100010101110…
…0010010001100111001101
31101012101101120020121021010
42120320223202101213031
52334113214411130331
634202254021155433
72133022636010664
oct230705342214715
941171346217233
1010506220411341
113390732586636
121218213b5bb79
135b2969c24a65
1428470a537ddb
15133456beae46
hex98e2b8919cd

10506220411341 has 32 divisors (see below), whose sum is σ = 15104152166400. Its totient is φ = 6472097058560.

The previous prime is 10506220411201. The next prime is 10506220411343. The reversal of 10506220411341 is 14311402260501.

It is not a de Polignac number, because 10506220411341 - 218 = 10506220149197 is a prime.

It is a super-2 number, since 2×105062204113412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10506220411299 and 10506220411308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10506220411343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5204601 + ... + 6935438.

It is an arithmetic number, because the mean of its divisors is an integer number (472004755200).

Almost surely, 210506220411341 is an apocalyptic number.

It is an amenable number.

10506220411341 is a deficient number, since it is larger than the sum of its proper divisors (4597931755059).

10506220411341 is a wasteful number, since it uses less digits than its factorization.

10506220411341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12140369.

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 10506220411341 its reverse (14311402260501), we get a palindrome (24817622671842).

The spelling of 10506220411341 in words is "ten trillion, five hundred six billion, two hundred twenty million, four hundred eleven thousand, three hundred forty-one".

Divisors: 1 3 17 51 71 213 239 717 1207 3621 4063 12189 16969 50907 288473 865419 12140039 36420117 206380663 619141989 861942769 2585828307 2901469321 8704407963 14653027073 43959081219 49324978457 147974935371 206004321791 618012965373 3502073470447 10506220411341