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212103030321 = 327133717340459
BaseRepresentation
bin1100010110001001010…
…0110110011000110001
3202021110211021022212200
43011202110312120301
511433341333432241
6241234440013413
721216053003460
oct3054224663061
9667424238780
10212103030321
1181a526a3aa6
1235134a61269
1317002918890
14a3a167c9d7
1557b5c974b6
hex3162536631

212103030321 has 96 divisors (see below), whose sum is σ = 389511333120. Its totient is φ = 108222884352.

The previous prime is 212103030289. The next prime is 212103030383. The reversal of 212103030321 is 123030301212.

212103030321 is a `hidden beast` number, since 21 + 21 + 0 + 303 + 0 + 321 = 666.

It is not a de Polignac number, because 212103030321 - 25 = 212103030289 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 212103030294 and 212103030303.

It is not an unprimeable number, because it can be changed into a prime (212103230321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5222190 + ... + 5262648.

It is an arithmetic number, because the mean of its divisors is an integer number (4057409720).

Almost surely, 2212103030321 is an apocalyptic number.

212103030321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212103030321 is a deficient number, since it is larger than the sum of its proper divisors (177408302799).

212103030321 is a wasteful number, since it uses less digits than its factorization.

212103030321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40695 (or 40692 counting only the distinct ones).

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

Adding to 212103030321 its reverse (123030301212), we get a palindrome (335133331533).

The spelling of 212103030321 in words is "two hundred twelve billion, one hundred three million, thirty thousand, three hundred twenty-one".

Divisors: 1 3 7 9 13 21 37 39 63 91 111 117 173 259 273 333 481 519 777 819 1211 1443 1557 2249 2331 3367 3633 4329 6401 6747 10101 10899 15743 19203 20241 30303 40459 44807 47229 57609 83213 121377 134421 141687 249639 283213 364131 403263 525967 582491 748917 849639 1496983 1577901 1747473 2548917 3681769 4490949 4733703 5242419 6999407 10478881 11045307 13472847 19460779 20998221 31436643 33135921 48995849 58382337 62994663 90992291 94309929 136225453 146987547 175147011 258978059 272976873 408676359 440962641 636946037 776934177 818930619 1226029077 1812846413 1910838111 2330802531 3366714767 5438539239 5732514333 10100144301 16315617717 23567003369 30300432903 70701010107 212103030321