Search a number
-
+
243103220106561 = 321769121371076011
BaseRepresentation
bin110111010001100111100001…
…000101000000010101000001
31011212202102220101200001100200
4313101213201011000111001
5223331000343321402221
62221012024430235413
7102130425264145623
oct6721474105002501
91155672811601320
10243103220106561
1170507551075991
1223323048655b69
13a5856c6054569
144406389996c13
151d18a152aa426
hexdd19e1140541

243103220106561 has 48 divisors (see below), whose sum is σ = 372517575288768. Its totient is φ = 152243191526400.

The previous prime is 243103220106557. The next prime is 243103220106577. The reversal of 243103220106561 is 165601022301342.

243103220106561 is a `hidden beast` number, since 2 + 4 + 31 + 0 + 32 + 20 + 10 + 6 + 561 = 666.

It is not a de Polignac number, because 243103220106561 - 22 = 243103220106557 is a prime.

It is not an unprimeable number, because it can be changed into a prime (243103220106511) 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 47 ways as a sum of consecutive naturals, for example, 225392046 + ... + 226468056.

It is an arithmetic number, because the mean of its divisors is an integer number (7760782818516).

Almost surely, 2243103220106561 is an apocalyptic number.

It is an amenable number.

243103220106561 is a deficient number, since it is larger than the sum of its proper divisors (129414355182207).

243103220106561 is a wasteful number, since it uses less digits than its factorization.

243103220106561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078862 (or 1078859 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 243103220106561 in words is "two hundred forty-three trillion, one hundred three billion, two hundred twenty million, one hundred six thousand, five hundred sixty-one".

Divisors: 1 3 9 17 51 153 691 2073 2137 6219 6411 11747 19233 35241 36329 105723 108987 326961 1076011 1476667 3228033 4430001 9684099 13290003 18292187 25103339 54876561 75310017 164629683 225930051 743523601 2230570803 2299435507 6691712409 6898306521 12639901217 20694919563 37919703651 39090403619 113759110953 117271210857 351813632571 1588909935337 4766729806011 14300189418033 27011468900729 81034406702187 243103220106561