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212130330220332 = 2232233109123180329
BaseRepresentation
bin110000001110111001110000…
…111110101001011100101100
31000211002110110110000100010100
4300032321300332221130230
5210301020404014022312
62031055154532311100
762452624223041056
oct6016716076513454
91024073413010110
10212130330220332
1161655a71201747
121b960342472490
139149a5c0a2424
143a5523c8aa8d6
15197cee3d015dc
hexc0ee70fa972c

212130330220332 has 72 divisors (see below), whose sum is σ = 539013326145840. Its totient is φ = 70342096135680.

The previous prime is 212130330220307. The next prime is 212130330220343. The reversal of 212130330220332 is 233022033031212.

212130330220332 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 3 + 0 + 3 + 302 + 20 + 332 = 666.

It is a super-3 number, since 3×2121303302203323 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212130330220296 and 212130330220305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2438857 + ... + 20741472.

It is an arithmetic number, because the mean of its divisors is an integer number (7486296196470).

Almost surely, 2212130330220332 is an apocalyptic number.

It is an amenable number.

212130330220332 is an abundant number, since it is smaller than the sum of its proper divisors (326882995925508).

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

212130330220332 is a wasteful number, since it uses less digits than its factorization.

212130330220332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23181663 (or 23181658 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 212130330220332 its reverse (233022033031212), we get a palindrome (445152363251544).

The spelling of 212130330220332 in words is "two hundred twelve trillion, one hundred thirty billion, three hundred thirty million, two hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 233 466 699 932 1091 1398 2097 2182 2796 3273 4194 4364 6546 8388 9819 13092 19638 39276 254203 508406 762609 1016812 1525218 2287827 3050436 4575654 9151308 23180329 46360658 69540987 92721316 139081974 208622961 278163948 417245922 834491844 5401016657 10802033314 16203049971 21604066628 25289738939 32406099942 48609149913 50579477878 64812199884 75869216817 97218299826 101158955756 151738433634 194436599652 227607650451 303476867268 455215300902 910430601804 5892509172787 11785018345574 17677527518361 23570036691148 35355055036722 53032582555083 70710110073444 106065165110166 212130330220332