Search a number
-
+
212122000222020 = 223257250993670739
BaseRepresentation
bin110000001110110010000000…
…011110001110011101000100
31000211001122221220122120122100
4300032302000132032131010
5210300401324024101040
62031051300203432100
762452210624160520
oct6016620036163504
91024048856576570
10212122000222020
1161652487130719
121b95a7b8825630
13914903238a245
143a54a8c460d80
15197cba786db30
hexc0ec8078e744

212122000222020 has 144 divisors (see below), whose sum is σ = 735360293566080. Its totient is φ = 48484763163648.

The previous prime is 212122000222009. The next prime is 212122000222051. The reversal of 212122000222020 is 20222000221212.

212122000222020 is a `hidden beast` number, since 212 + 12 + 200 + 0 + 2 + 220 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 212122000221984 and 212122000222002.

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, 315915811 + ... + 316586549.

It is an arithmetic number, because the mean of its divisors is an integer number (5106668705320).

Almost surely, 2212122000222020 is an apocalyptic number.

212122000222020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212122000222020 is an abundant number, since it is smaller than the sum of its proper divisors (523238293344060).

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

212122000222020 is a wasteful number, since it uses less digits than its factorization.

212122000222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921754 (or 921749 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 212122000222020 its reverse (20222000221212), we get a palindrome (232344000443232).

The spelling of 212122000222020 in words is "two hundred twelve trillion, one hundred twenty-two billion, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 250993 501986 670739 752979 1003972 1254965 1341478 1505958 1756951 2012217 2258937 2509930 2682956 3011916 3353695 3513902 3764895 4024434 4517874 4695173 5019860 5270853 6036651 6707390 7027804 7529790 8048868 8784755 9035748 9390346 10061085 10541706 11294685 12073302 13414780 14085519 15059580 15812559 17569510 18780692 20122170 21083412 22589370 23475865 24146604 26354265 28171038 30183255 31625118 35139020 40244340 42256557 45178740 46951730 52708530 56342076 60366510 63250236 70427595 79062795 84513114 93903460 105417060 120733020 140855190 158125590 169026228 211282785 281710380 316251180 422565570 845131140 168350793827 336701587654 505052381481 673403175308 841753969135 1010104762962 1178455556789 1515157144443 1683507938270 2020209525924 2356911113578 2525261907405 3030314288886 3367015876540 3535366670367 4713822227156 5050523814810 5892277783945 6060628577772 7070733340734 7575785722215 10101047629620 10606100011101 11784555567890 14141466681468 15151571444430 17676833351835 21212200022202 23569111135780 30303142888860 35353666703670 42424400044404 53030500055505 70707333407340 106061000111010 212122000222020