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212330332032 = 2737136076303
BaseRepresentation
bin1100010110111111011…
…1111011111110000000
3202022001122222110012120
43011233313323332000
511434323031111112
6241313155524240
721224513020620
oct3055767737600
9668048873176
10212330332032
1182059a34155
1235198bb9680
131703aa41930
14a3c392a880
1557cabe5e8c
hex316fdfbf80

212330332032 has 128 divisors (see below), whose sum is σ = 694156968960. Its totient is φ = 55999199232.

The previous prime is 212330331991. The next prime is 212330332043. The reversal of 212330332032 is 230233033212.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 212330331993 and 212330332011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3003208 + ... + 3073095.

It is an arithmetic number, because the mean of its divisors is an integer number (5423101320).

Almost surely, 2212330332032 is an apocalyptic number.

It is an amenable number.

212330332032 is an abundant number, since it is smaller than the sum of its proper divisors (481826636928).

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

212330332032 is a wasteful number, since it uses less digits than its factorization.

212330332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6076340 (or 6076328 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 212330332032 its reverse (230233033212), we get a palindrome (442563365244).

The spelling of 212330332032 in words is "two hundred twelve billion, three hundred thirty million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 273 312 336 364 384 416 448 546 624 672 728 832 896 1092 1248 1344 1456 1664 2184 2496 2688 2912 4368 4992 5824 8736 11648 17472 34944 6076303 12152606 18228909 24305212 36457818 42534121 48610424 72915636 78991939 85068242 97220848 127602363 145831272 157983878 170136484 194441696 236975817 255204726 291662544 315967756 340272968 388883392 473951634 510409452 552943573 583325088 631935512 680545936 777766784 947903268 1020818904 1105887146 1166650176 1263871024 1361091872 1658830719 1895806536 2041637808 2211774292 2333300352 2527742048 2722183744 3317661438 3791613072 4083275616 4423548584 5055484096 5444367488 6635322876 7583226144 8166551232 8847097168 10110968192 13270645752 15166452288 16333102464 17694194336 26541291504 30332904576 35388388672 53082583008 70776777344 106165166016 212330332032