Search a number
-
+
320132002221 = 36538993097
BaseRepresentation
bin1001010100010010101…
…10101011000110101101
31010121022112211201000000
410222021112223012231
520221112243032341
6403022215454513
732062112056353
oct4521126530655
91117275751000
10320132002221
11113849195569
1252063687439
132425a973465
14116ccb897d3
1584d9d018b6
hex4a895ab1ad

320132002221 has 56 divisors (see below), whose sum is σ = 494534714040. Its totient is φ = 207039545856.

The previous prime is 320132002219. The next prime is 320132002243. The reversal of 320132002221 is 122200231023.

320132002221 is a `hidden beast` number, since 320 + 1 + 320 + 0 + 2 + 2 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18444356100 + 301687646121 = 135810^2 + 549261^2 .

It is not a de Polignac number, because 320132002221 - 21 = 320132002219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 320132002194 and 320132002203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320132002321) 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 55 ways as a sum of consecutive naturals, for example, 3392145 + ... + 3485241.

Almost surely, 2320132002221 is an apocalyptic number.

It is an amenable number.

320132002221 is a deficient number, since it is larger than the sum of its proper divisors (174402711819).

320132002221 is an frugal number, since it uses more digits than its factorization.

320132002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93257 (or 93242 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 320132002221 its reverse (122200231023), we get a palindrome (442332233244).

The spelling of 320132002221 in words is "three hundred twenty billion, one hundred thirty-two million, two thousand, two hundred twenty-one".

Divisors: 1 3 9 27 53 81 89 159 243 267 477 729 801 1431 2403 4293 4717 7209 12879 14151 21627 38637 42453 64881 93097 127359 279291 382077 837873 1146231 2513619 3438693 4934141 7540857 8285633 14802423 22622571 24856899 44407269 67867713 74570697 133221807 223712091 399665421 439138549 671136273 1198996263 1317415647 2013408819 3596988789 3952246941 6040226457 11856740823 35570222469 106710667407 320132002221