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212222130222300 = 2235211232796075497
BaseRepresentation
bin110000010000001111010000…
…101011110111010011011100
31000211102020102010220121202020
4300100033100223313103130
5210304021410314103200
62031205300053100140
762462354140140552
oct6020172053672334
91024366363817666
10212222130222300
1161690999988970
121b9760a2027650
1391555cbab5613
143a5986a881bd2
1519805b81d6ea0
hexc103d0af74dc

212222130222300 has 144 divisors (see below), whose sum is σ = 698974137292032. Its totient is φ = 49210928729600.

The previous prime is 212222130222253. The next prime is 212222130222317. The reversal of 212222130222300 is 3222031222212.

It is a super-3 number, since 3×2122221302223003 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1397961849 + ... + 1398113648.

It is an arithmetic number, because the mean of its divisors is an integer number (4853987064528).

Almost surely, 2212222130222300 is an apocalyptic number.

212222130222300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212222130222300 is an abundant number, since it is smaller than the sum of its proper divisors (486752007069732).

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

212222130222300 is a wasteful number, since it uses less digits than its factorization.

212222130222300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796075548 (or 2796075541 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 212222130222300 its reverse (3222031222212), we get a palindrome (215444161444512).

The spelling of 212222130222300 in words is "two hundred twelve trillion, two hundred twenty-two billion, one hundred thirty million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 25 30 33 44 46 50 55 60 66 69 75 92 100 110 115 132 138 150 165 220 230 253 275 276 300 330 345 460 506 550 575 660 690 759 825 1012 1100 1150 1265 1380 1518 1650 1725 2300 2530 3036 3300 3450 3795 5060 6325 6900 7590 12650 15180 18975 25300 37950 75900 2796075497 5592150994 8388226491 11184301988 13980377485 16776452982 27960754970 30756830467 33552905964 41941132455 55921509940 61513660934 64309736431 69901887425 83882264910 92270491401 123027321868 128619472862 139803774850 153784152335 167764529820 184540982802 192929209293 209705662275 257238945724 279607549700 307568304670 321548682155 369081965604 385858418586 419411324550 461352457005 615136609340 643097364310 707407100741 768920761675 771716837172 838822649100 922704914010 964646046465 1286194728620 1414814201482 1537841523350 1607743410775 1845409828020 1929292092930 2122221302223 2306762285025 2829628402964 3075683046700 3215486821550 3537035503705 3858584185860 4244442604446 4613524570050 4823230232325 6430973643100 7074071007410 8488885208892 9227049140100 9646460464650 10611106511115 14148142014820 17685177518525 19292920929300 21222213022230 35370355037050 42444426044460 53055532555575 70740710074100 106111065111150 212222130222300