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212131224300 = 223524195318097
BaseRepresentation
bin1100010110010000000…
…0011001101011101100
3202021112210022201202010
43011210000121223230
511433421043134200
6241241324201220
721216544440612
oct3054400315354
9667483281663
10212131224300
1181a67600606
1235142399210
131700870a7c8
14a3a52db6b2
1557b84b6150
hex3164019aec

212131224300 has 144 divisors (see below), whose sum is σ = 629430776352. Its totient is φ = 55127654400.

The previous prime is 212131224299. The next prime is 212131224317. The reversal of 212131224300 is 3422131212.

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, 11712852 + ... + 11730948.

It is an arithmetic number, because the mean of its divisors is an integer number (4371047058).

Almost surely, 2212131224300 is an apocalyptic number.

212131224300 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 212131224300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314715388176).

212131224300 is an abundant number, since it is smaller than the sum of its proper divisors (417299552052).

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

212131224300 is a wasteful number, since it uses less digits than its factorization.

212131224300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19108 (or 19101 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 212131224300 its reverse (3422131212), we get a palindrome (215553355512).

The spelling of 212131224300 in words is "two hundred twelve billion, one hundred thirty-one million, two hundred twenty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 615 820 953 1025 1230 1906 2050 2460 2859 3075 3812 4100 4765 5718 6150 9530 11436 12300 14295 18097 19060 23825 28590 36194 39073 47650 54291 57180 71475 72388 78146 90485 95300 108582 117219 142950 156292 180970 195365 217164 234438 271455 285900 361940 390730 452425 468876 542910 586095 741977 781460 904850 976825 1085820 1172190 1357275 1483954 1809700 1953650 2225931 2344380 2714550 2930475 2967908 3709885 3907300 4451862 5429100 5860950 7419770 8903724 11129655 11721900 14839540 17246441 18549425 22259310 34492882 37098850 44518620 51739323 55648275 68985764 74197700 86232205 103478646 111296550 172464410 206957292 222593100 258696615 344928820 431161025 517393230 707104081 862322050 1034786460 1293483075 1414208162 1724644100 2121312243 2586966150 2828416324 3535520405 4242624486 5173932300 7071040810 8485248972 10606561215 14142081620 17677602025 21213122430 35355204050 42426244860 53032806075 70710408100 106065612150 212131224300