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212002102121000 = 23531731225445677
BaseRepresentation
bin110000001101000010010101…
…111111010001001000101000
31000210122012111000012222021012
4300031002111333101020220
5210241420301120333000
62030520230551203052
762440434503136632
oct6015022577211050
91023565430188235
10212002102121000
116160664a844834
121b93b517076488
13913a93532cb39
143a4cd56881a52
1519799db7e5735
hexc0d095fd1228

212002102121000 has 64 divisors (see below), whose sum is σ = 498952462254480. Its totient is φ = 84310662508800.

The previous prime is 212002102120979. The next prime is 212002102121011. The reversal of 212002102121000 is 121201200212.

It can be written as a sum of positive squares in 8 ways, for example, as 90296327943844 + 121705774177156 = 9502438^2 + 11032034^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 612549839 + ... + 612895838.

Almost surely, 2212002102121000 is an apocalyptic number.

212002102121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212002102121000 is an abundant number, since it is smaller than the sum of its proper divisors (286950360133480).

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

212002102121000 is a wasteful number, since it uses less digits than its factorization.

212002102121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225445871 (or 1225445857 counting only the distinct ones).

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

Adding to 212002102121000 its reverse (121201200212), we get a palindrome (212123303321212).

The spelling of 212002102121000 in words is "two hundred twelve trillion, two billion, one hundred two million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 173 200 250 346 500 692 865 1000 1384 1730 3460 4325 6920 8650 17300 21625 34600 43250 86500 173000 1225445677 2450891354 4901782708 6127228385 9803565416 12254456770 24508913540 30636141925 49017827080 61272283850 122544567700 153180709625 212002102121 245089135400 306361419250 424004204242 612722838500 848008408484 1060010510605 1225445677000 1696016816968 2120021021210 4240042042420 5300052553025 8480084084840 10600105106050 21200210212100 26500262765125 42400420424200 53000525530250 106001051060500 212002102121000