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212220120202300 = 225278317920405977
BaseRepresentation
bin110000010000001101011000…
…111000001111110000111100
31000211102001020001201000200001
4300100031120320033300330
5210304003301232433200
62031204324411244044
762462253262224130
oct6020153070176074
91024361201630601
10212220120202300
1161690058318111
121b975820a49624
13915536b540582
143a597199393c0
1519804eb9e576a
hexc10358e0fc3c

212220120202300 has 144 divisors (see below), whose sum is σ = 535622640456960. Its totient is φ = 71482950167040.

The previous prime is 212220120202253. The next prime is 212220120202303. The reversal of 212220120202300 is 3202021022212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212220120202303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196912 + ... + 20602888.

It is an arithmetic number, because the mean of its divisors is an integer number (3719601669840).

Almost surely, 2212220120202300 is an apocalyptic number.

212220120202300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212220120202300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267811320228480).

212220120202300 is an abundant number, since it is smaller than the sum of its proper divisors (323402520254660).

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

212220120202300 is a wasteful number, since it uses less digits than its factorization.

212220120202300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20406260 (or 20406253 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 212220120202300 its reverse (3202021022212), we get a palindrome (215422141224512).

The spelling of 212220120202300 in words is "two hundred twelve trillion, two hundred twenty billion, one hundred twenty million, two hundred two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 83 100 140 166 175 179 332 350 358 415 581 700 716 830 895 1162 1253 1660 1790 2075 2324 2506 2905 3580 4150 4475 5012 5810 6265 8300 8950 11620 12530 14525 14857 17900 25060 29050 29714 31325 58100 59428 62650 74285 103999 125300 148570 207998 297140 371425 415996 519995 742850 1039990 1485700 2079980 2599975 5199950 10399900 20405977 40811954 81623908 102029885 142841839 204059770 285683678 408119540 510149425 571367356 714209195 1020298850 1428418390 1693696091 2040597700 2856836780 3387392182 3571045975 3652669883 6774784364 7142091950 7305339766 8468480455 11855872637 14284183900 14610679532 16936960910 18263349415 23711745274 25568689181 33873921820 36526698830 42342402275 47423490548 51137378362 59279363185 73053397660 84684804550 91316747075 102274756724 118558726370 127843445905 169369609100 182633494150 237117452740 255686891810 296396815925 303171600289 365266988300 511373783620 592793631850 606343200578 639217229525 1185587263700 1212686401156 1278434459050 1515858001445 2122201202023 2556868918100 3031716002890 4244402404046 6063432005780 7579290007225 8488804808092 10611006010115 15158580014450 21222012020230 30317160028900 42444024040460 53055030050575 106110060101150 212220120202300