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212020010110000 = 245433196388069
BaseRepresentation
bin110000001101010011000001…
…011000110100110000110000
31000210200220201001021001221001
4300031103001120310300300
5210242213440042010000
62030532351545411344
762441640333422251
oct6015230130646060
91023626631231831
10212020010110000
11616131aa3a1a44
121b942a94499b54
13913c52a486031
143a4db74d9ab28
15197a1d8a7646a
hexc0d4c1634c30

212020010110000 has 100 divisors (see below), whose sum is σ = 513476388396400. Its totient is φ = 84782438496000.

The previous prime is 212020010109983. The next prime is 212020010110037. The reversal of 212020010110000 is 11010020212.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29995966 + ... + 36384034.

It is an arithmetic number, because the mean of its divisors is an integer number (5134763883964).

Almost surely, 2212020010110000 is an apocalyptic number.

212020010110000 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 212020010110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256738194198200).

212020010110000 is an abundant number, since it is smaller than the sum of its proper divisors (301456378286400).

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

212020010110000 is an equidigital number, since it uses as much as digits as its factorization.

212020010110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6391416 (or 6391395 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 212020010110000 its reverse (11010020212), we get a palindrome (212031020130212).

The spelling of 212020010110000 in words is "two hundred twelve trillion, twenty billion, ten million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 3319 5000 6638 10000 13276 16595 26552 33190 53104 66380 82975 132760 165950 265520 331900 414875 663800 829750 1327600 1659500 2074375 3319000 4148750 6388069 6638000 8297500 12776138 16595000 25552276 31940345 33190000 51104552 63880690 102209104 127761380 159701725 255522760 319403450 511045520 638806900 798508625 1277613800 1597017250 2555227600 3194034500 3992543125 6388069000 7985086250 12776138000 15970172500 21202001011 31940345000 42404002022 63880690000 84808004044 106010005055 169616008088 212020010110 339232016176 424040020220 530050025275 848080040440 1060100050550 1696160080880 2120200101100 2650250126375 4240400202200 5300500252750 8480800404400 10601000505500 13251250631875 21202001011000 26502501263750 42404002022000 53005002527500 106010005055000 212020010110000