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2101002000210 = 232523344466669
BaseRepresentation
bin11110100100101101011…
…110100101011101010010
321102212001102221002002200
4132210231132211131102
5233410323003001320
64245104220224030
7304535534225001
oct36445536453522
97385042832080
102101002000210
11740036946533
1229b23139b016
1312317b831539
1473990a1cc38
15399ba191290
hex1e92d7a5752

2101002000210 has 24 divisors (see below), whose sum is σ = 5462605200780. Its totient is φ = 560267200032.

The previous prime is 2101002000197. The next prime is 2101002000259. The reversal of 2101002000210 is 120002001012.

It can be written as a sum of positive squares in 2 ways, for example, as 2096098779681 + 4903220529 = 1447791^2 + 70023^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2101002000192 and 2101002000201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11672233245 + ... + 11672233424.

Almost surely, 22101002000210 is an apocalyptic number.

2101002000210 is an abundant number, since it is smaller than the sum of its proper divisors (3361603200570).

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

2101002000210 is a wasteful number, since it uses less digits than its factorization.

2101002000210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23344466682 (or 23344466679 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2101002000210 its reverse (120002001012), we get a palindrome (2221004001222).

The spelling of 2101002000210 in words is "two trillion, one hundred one billion, two million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 23344466669 46688933338 70033400007 116722333345 140066800014 210100200021 233444666690 350167000035 420200400042 700334000070 1050501000105 2101002000210