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2000102001210 = 2325223503919777
BaseRepresentation
bin11101000110101111010…
…111101000101000111010
321002012121112210001022200
4131012233113220220322
5230232202103014320
64130500103131030
7264334251333465
oct35065727505072
97065545701280
102000102001210
11701269489905
12283772143a76
131167bb728a11
146cb3c2422dc
1537061e2a290
hex1d1af5e8a3a

2000102001210 has 96 divisors (see below), whose sum is σ = 5224885585920. Its totient is φ = 530836568064.

The previous prime is 2000102001197. The next prime is 2000102001241. The reversal of 2000102001210 is 121002010002.

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 = 2000102001192 and 2000102001201.

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 47 ways as a sum of consecutive naturals, for example, 101122842 + ... + 101142618.

It is an arithmetic number, because the mean of its divisors is an integer number (54425891520).

Almost surely, 22000102001210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000102001210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612442792960).

2000102001210 is an abundant number, since it is smaller than the sum of its proper divisors (3224783584710).

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

2000102001210 is a wasteful number, since it uses less digits than its factorization.

2000102001210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25052 (or 25049 counting only the distinct ones).

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

Adding to 2000102001210 its reverse (121002010002), we get a palindrome (2121104011212).

The spelling of 2000102001210 in words is "two trillion, one hundred two million, one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 223 446 669 1115 1338 2007 2230 3345 4014 5039 6690 10035 10078 15117 19777 20070 25195 30234 39554 45351 50390 59331 75585 90702 98885 118662 151170 177993 197770 226755 296655 355986 453510 593310 889965 1123697 1779930 2247394 3371091 4410271 5618485 6742182 8820542 10113273 11236970 13230813 16855455 20226546 22051355 26461626 33710910 39692439 44102710 50566365 66154065 79384878 99656303 101132730 132308130 198462195 199312606 298968909 396924390 498281515 597937818 896906727 996563030 1494844545 1793813454 2989689090 4484533635 8969067270 22223355569 44446711138 66670066707 111116777845 133340133414 200010200121 222233555690 333350333535 400020400242 666700667070 1000051000605 2000102001210