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212132101341 = 319311993531709
BaseRepresentation
bin1100010110010000001…
…1101111110011011101
3202021112211222021211010
43011210003233303131
511433421304220331
6241241355045433
721216555052566
oct3054403576335
9667484867733
10212132101341
1181a6804a536
1235142740879
1317008956a74
14a3a548916d
1557b85dae46
hex31640efcdd

212132101341 has 64 divisors (see below), whose sum is σ = 309934080000. Its totient is φ = 128564029440.

The previous prime is 212132101333. The next prime is 212132101361. The reversal of 212132101341 is 143101231212.

It is not a de Polignac number, because 212132101341 - 23 = 212132101333 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212132101361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124125595 + ... + 124127303.

It is an arithmetic number, because the mean of its divisors is an integer number (4842720000).

Almost surely, 2212132101341 is an apocalyptic number.

It is an amenable number.

212132101341 is a deficient number, since it is larger than the sum of its proper divisors (97801978659).

212132101341 is a wasteful number, since it uses less digits than its factorization.

212132101341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 212132101341 its reverse (143101231212), we get a palindrome (355233332553).

The spelling of 212132101341 in words is "two hundred twelve billion, one hundred thirty-two million, one hundred one thousand, three hundred forty-one".

Divisors: 1 3 19 31 57 93 199 353 589 597 1059 1709 1767 3781 5127 6169 6707 10943 11343 18507 20121 32471 32829 52979 70247 97413 117211 158937 207917 210741 340091 351633 603277 623751 1006601 1020273 1334693 1809831 2177657 3019803 4004079 6461729 6532971 10542821 11462263 18701587 19385187 31628463 34386789 41375483 56104761 120052123 124126449 200313599 355330153 360156369 600940797 1065990459 2280990337 3721615813 6842971011 11164847439 70710700447 212132101341