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6175220030001 = 3811227892
BaseRepresentation
bin101100111011100011111…
…0010111101101000110001
3210212100022200221100000000
41121313013302331220301
51302133322311430001
621044505032220213
71205100465123531
oct131670762755061
923770280840000
106175220030001
111a709947a0400
1283897083a669
1335a4228c3a19
14174c4cc414c1
15aa971beda86
hex59dc7cbda31

6175220030001 has 81 divisors (see below), whose sum is σ = 10184592246283. Its totient is φ = 3741215694480.

The previous prime is 6175220029949. The next prime is 6175220030047. The reversal of 6175220030001 is 1000300225716.

It is a happy number.

The square root of 6175220030001 is 2484999.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3880903940001 + 2294316090000 = 1970001^2 + 1514700^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is a de Polignac number, because none of the positive numbers 2k-6175220030001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6175220030201) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2214132715 + ... + 2214135503.

Almost surely, 26175220030001 is an apocalyptic number.

6175220030001 is the 2484999-th square number.

6175220030001 is the 1242500-th centered octagonal number.

It is an amenable number.

6175220030001 is a deficient number, since it is larger than the sum of its proper divisors (4009372216282).

6175220030001 is an frugal number, since it uses more digits than its factorization.

6175220030001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5624 (or 2803 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 6175220030001 its reverse (1000300225716), we get a palindrome (7175520255717).

The spelling of 6175220030001 in words is "six trillion, one hundred seventy-five billion, two hundred twenty million, thirty thousand, one".

Divisors: 1 3 9 11 27 33 81 99 121 243 297 363 729 891 1089 2187 2673 2789 3267 6561 8019 8367 9801 24057 25101 29403 30679 72171 75303 88209 92037 225909 264627 276111 337469 677727 793881 828333 1012407 2033181 2484999 3037221 6099543 7454997 7778521 9111663 18298629 22364991 23335563 27334989 67094973 70006689 82004967 85563731 201284919 210020067 246014901 256691193 630060201 738044703 770073579 941201041 1890180603 2214134109 2310220737 2823603123 5670541809 6930662211 8470809369 17011625427 20791986633 25412428107 51034876281 62375959899 76237284321 187127879697 228711852963 561383639091 686135558889 2058406676667 6175220030001