Search a number
-
+
212133030312132 = 22327389431902599
BaseRepresentation
bin110000001110111100010001…
…111010101011100011000100
31000211002201102121201012202100
4300032330101322223203010
5210301041421224442012
62031100322504512100
762453051150325606
oct6016742172534304
91024081377635670
10212133030312132
1161657127350676
121b96097677b630
13914a09c5bb897
143a55417325176
15197d100da38dc
hexc0ef11eab8c4

212133030312132 has 72 divisors (see below), whose sum is σ = 543577390428800. Its totient is φ = 69741509016960.

The previous prime is 212133030312029. The next prime is 212133030312211. The reversal of 212133030312132 is 231213030331212.

212133030312132 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 330 + 3 + 0 + 312 + 13 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 212133030312096 and 212133030312105.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 234573369 + ... + 235475967.

Almost surely, 2212133030312132 is an apocalyptic number.

It is an amenable number.

212133030312132 is an abundant number, since it is smaller than the sum of its proper divisors (331444360116668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212133030312132 is a wasteful number, since it uses less digits than its factorization.

212133030312132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992113 (or 992108 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 212133030312132 its reverse (231213030331212), we get a palindrome (443346060643344).

The spelling of 212133030312132 in words is "two hundred twelve trillion, one hundred thirty-three billion, thirty million, three hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 89431 178862 268293 357724 536586 804879 902599 1073172 1609758 1805198 2707797 3219516 3610396 5415594 6528463 8123391 10831188 13056926 16246782 19585389 26113852 32493564 39170778 58756167 65889727 78341556 117512334 131779454 197669181 235024668 263558908 395338362 593007543 790676724 1186015086 2372030172 80720331169 161440662338 242160993507 322881324676 484321987014 726482980521 968643974028 1452965961042 2905931922084 5892584175337 11785168350674 17677752526011 23570336701348 35355505052022 53033257578033 70711010104044 106066515156066 212133030312132