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212030123301 = 32377310980021
BaseRepresentation
bin1100010101110111111…
…0101110110100100101
3202021021202002021020200
43011131332232310211
511433214202421201
6241223313221113
721214206211533
oct3053576566445
9667252067220
10212030123301
1181a15527967
1235114561799
1316cc079cb29
14a395b01153
1557ae695386
hex315dfaed25

212030123301 has 48 divisors (see below), whose sum is σ = 321781265520. Its totient is φ = 134402872320.

The previous prime is 212030123273. The next prime is 212030123351. The reversal of 212030123301 is 103321030212.

212030123301 is a `hidden beast` number, since 21 + 20 + 301 + 23 + 301 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 384120801 + 211646002500 = 19599^2 + 460050^2 .

It is not a de Polignac number, because 212030123301 - 213 = 212030115109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212030123351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2609671 + ... + 2689691.

It is an arithmetic number, because the mean of its divisors is an integer number (6703776365).

Almost surely, 2212030123301 is an apocalyptic number.

It is an amenable number.

212030123301 is a deficient number, since it is larger than the sum of its proper divisors (109751142219).

212030123301 is a wasteful number, since it uses less digits than its factorization.

212030123301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80246 (or 80243 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 212030123301 its reverse (103321030212), we get a palindrome (315351153513).

The spelling of 212030123301 in words is "two hundred twelve billion, thirty million, one hundred twenty-three thousand, three hundred one".

Divisors: 1 3 9 37 73 109 111 219 327 333 657 981 2701 4033 7957 8103 12099 23871 24309 36297 71613 80021 240063 294409 720189 883227 2649681 2960777 5841533 8722289 8882331 17524599 26166867 26646993 52573797 78500601 216136721 322724693 636727097 648410163 968174079 1910181291 1945230489 2904522237 5730543873 23558902589 70676707767 212030123301