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212020012011020 = 225196147331932533
BaseRepresentation
bin110000001101010011000001…
…100000000100111000001100
31000210200220201011211122122012
4300031103001200010320030
5210242213441033323040
62030532352054240352
762441640355530503
oct6015230140047014
91023626634748565
10212020012011020
1161613200480234
121b942a950560b8
13913c52a9a03b5
143a4db7533383a
15197a1d8cee865
hexc0d4c1804e0c

212020012011020 has 96 divisors (see below), whose sum is σ = 476459918988480. Its totient is φ = 79010565903360.

The previous prime is 212020012011019. The next prime is 212020012011023. The reversal of 212020012011020 is 20110210020212.

It is a junction number, because it is equal to n+sod(n) for n = 212020012010986 and 212020012011004.

It is not an unprimeable number, because it can be changed into a prime (212020012011023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108744674 + ... + 110677206.

It is an arithmetic number, because the mean of its divisors is an integer number (4963124156130).

Almost surely, 2212020012011020 is an apocalyptic number.

212020012011020 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 212020012011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238229959494240).

212020012011020 is an abundant number, since it is smaller than the sum of its proper divisors (264439906977460).

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

212020012011020 is a wasteful number, since it uses less digits than its factorization.

212020012011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937355 (or 1937353 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212020012011020 its reverse (20110210020212), we get a palindrome (232130222031232).

The spelling of 212020012011020 in words is "two hundred twelve trillion, twenty billion, twelve million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 61 76 95 122 190 244 305 380 610 1159 1220 2318 4636 4733 5795 9466 11590 18932 23180 23665 47330 89927 94660 179854 288713 359708 449635 577426 899270 1154852 1443565 1798540 1932533 2887130 3865066 5485547 5774260 7730132 9662665 10971094 19325330 21942188 27427735 36718127 38650660 54855470 73436254 109710940 117884513 146872508 183590635 235769026 367181270 471538052 589422565 734362540 1178845130 2239805747 2357690260 4479611494 8959222988 9146678689 11199028735 18293357378 22398057470 36586714756 44796114940 45733393445 91466786890 173786895091 182933573780 347573790182 557947400029 695147580364 868934475455 1115894800058 1737868950910 2231789600116 2789737000145 3475737901820 5579474000290 10601000600551 11158948000580 21202001201102 42404002402204 53005003002755 106010006005510 212020012011020