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212122322300 = 225274731320599
BaseRepresentation
bin1100010110001101111…
…0011100010101111100
3202021112011120110111102
43011203132130111330
511433411303303200
6241240405312232
721216405663350
oct3054336342574
9667464513442
10212122322300
1181a62580389
123513b405678
1317006911955
14a3a4061460
1557b78086d5
hex316379c57c

212122322300 has 144 divisors (see below), whose sum is σ = 538998835200. Its totient is φ = 70949399040.

The previous prime is 212122322299. The next prime is 212122322333. The reversal of 212122322300 is 3223221212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent 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, 10287401 + ... + 10307999.

Almost surely, 2212122322300 is an apocalyptic number.

212122322300 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 212122322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269499417600).

212122322300 is an abundant number, since it is smaller than the sum of its proper divisors (326876512900).

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

212122322300 is a wasteful number, since it uses less digits than its factorization.

212122322300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20980 (or 20973 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 212122322300 its reverse (3223221212), we get a palindrome (215345543512).

The spelling of 212122322300 in words is "two hundred twelve billion, one hundred twenty-two million, three hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 47 50 70 94 100 140 175 188 235 313 329 350 470 626 658 700 940 1175 1252 1316 1565 1645 2191 2350 3130 3290 4382 4700 6260 6580 7825 8225 8764 10955 14711 15650 16450 20599 21910 29422 31300 32900 41198 43820 54775 58844 73555 82396 102977 102995 109550 144193 147110 205954 205990 219100 288386 294220 367775 411908 411980 514885 514975 576772 720965 735550 968153 1029770 1029950 1441930 1471100 1936306 2059540 2059900 2574425 2883860 3604825 3872612 4840765 5148850 6447487 6777071 7209650 9681530 10297700 12894974 13554142 14419300 19363060 24203825 25789948 27108284 32237435 33885355 45132409 48407650 64474870 67770710 90264818 96815300 128949740 135541420 161187175 169426775 180529636 225662045 303031889 322374350 338853550 451324090 606063778 644748700 677707100 902648180 1128310225 1212127556 1515159445 2121223223 2256620450 3030318890 4242446446 4513240900 6060637780 7575797225 8484892892 10606116115 15151594450 21212232230 30303188900 42424464460 53030580575 106061161150 212122322300