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212101131330 = 2325111277167771
BaseRepresentation
bin1100010110001000110…
…1100110110001000010
3202021110200200211221200
43011202031212301002
511433340342200310
6241234331202030
721216030604164
oct3054215466102
9667420624850
10212101131330
1181a51617290
12351342a6316
131700240240a
14a3a1306934
1557b5a1e9c0
hex3162366c42

212101131330 has 96 divisors (see below), whose sum is σ = 602070625728. Its totient is φ = 51377884800.

The previous prime is 212101131283. The next prime is 212101131371. The reversal of 212101131330 is 33131101212.

212101131330 is a `hidden beast` number, since 212 + 10 + 113 + 1 + 330 = 666.

It is a super-2 number, since 2×2121011313302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1180345 + ... + 1348115.

It is an arithmetic number, because the mean of its divisors is an integer number (6271569018).

Almost surely, 2212101131330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212101131330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301035312864).

212101131330 is an abundant number, since it is smaller than the sum of its proper divisors (389969494398).

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

212101131330 is a wasteful number, since it uses less digits than its factorization.

212101131330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169072 (or 169069 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 212101131330 its reverse (33131101212), we get a palindrome (245232232542).

The spelling of 212101131330 in words is "two hundred twelve billion, one hundred one million, one hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 1277 2554 3831 6385 7662 11493 12770 14047 19155 22986 28094 38310 42141 57465 70235 84282 114930 126423 140470 167771 210705 252846 335542 421410 503313 632115 838855 1006626 1264230 1509939 1677710 1845481 2516565 3019878 3690962 5033130 5536443 7549695 9227405 11072886 15099390 16609329 18454810 27682215 33218658 55364430 83046645 166093290 214243567 428487134 642730701 1071217835 1285461402 1928192103 2142435670 2356679237 3213653505 3856384206 4713358474 6427307010 7070037711 9640960515 11783396185 14140075422 19281921030 21210113133 23566792370 35350188555 42420226266 70700377110 106050565665 212101131330