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213321111212232 = 233243947981140659
BaseRepresentation
bin110000100000001110110001…
…000011101001000011001000
31000222022022002000112022110100
4300200032301003221003020
5210430023113432242412
62033410210545445400
762634640666340352
oct6040166103510310
91028268060468410
10213321111212232
1161a74a80011581
121bb13088640860
13920512c728a4a
143a96b228900d2
15199de8949dedc
hexc203b10e90c8

213321111212232 has 96 divisors (see below), whose sum is σ = 579076908696000. Its totient is φ = 70943079070080.

The previous prime is 213321111212221. The next prime is 213321111212267. The reversal of 213321111212232 is 232212111123312.

213321111212232 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 211 + 1 + 1 + 212 + 232 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 213321111212196 and 213321111212205.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1516513119 + ... + 1516653777.

It is an arithmetic number, because the mean of its divisors is an integer number (6032051132250).

Almost surely, 2213321111212232 is an apocalyptic number.

It is an amenable number.

213321111212232 is an abundant number, since it is smaller than the sum of its proper divisors (365755797483768).

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

213321111212232 is a wasteful number, since it uses less digits than its factorization.

213321111212232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189091 (or 189084 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 213321111212232 its reverse (232212111123312), we get a palindrome (445533222335544).

The spelling of 213321111212232 in words is "two hundred thirteen trillion, three hundred twenty-one billion, one hundred eleven million, two hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 439 878 1317 1756 2634 3512 3951 5268 7902 10536 15804 31608 47981 95962 140659 143943 191924 281318 287886 383848 421977 431829 562636 575772 843954 863658 1125272 1151544 1265931 1687908 1727316 2531862 3375816 3454632 5063724 10127448 21063659 42127318 61749301 63190977 84254636 123498602 126381954 168509272 185247903 189572931 246997204 252763908 370495806 379145862 493994408 505527816 555743709 740991612 758291724 1111487418 1481983224 1516583448 2222974836 4445949672 6748959479 13497918958 20246878437 26995837916 40493756874 53991675832 60740635311 80987513748 121481270622 161975027496 242962541244 485925082488 2962793211281 5925586422562 8888379633843 11851172845124 17776759267686 23702345690248 26665138901529 35553518535372 53330277803058 71107037070744 106660555606116 213321111212232