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1000212000210 = 2325233697130699
BaseRepresentation
bin11101000111000010100…
…01111110110111010010
310112121201111100011002200
432203201101332313102
5112341413233001320
62043254022224030
7132156120503313
oct16434121766722
93477644304080
101000212000210
11356207664885
12141a20b85016
1373420194c57
14365a667060a
151b040191290
hexe8e147edd2

1000212000210 has 96 divisors (see below), whose sum is σ = 2714373417600. Its totient is φ = 255055578624.

The previous prime is 1000212000173. The next prime is 1000212000241. The reversal of 1000212000210 is 120002120001.

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 = 1000212000192 and 1000212000201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7587441 + ... + 7718139.

It is an arithmetic number, because the mean of its divisors is an integer number (28274723100).

Almost surely, 21000212000210 is an apocalyptic number.

1000212000210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000212000210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357186708800).

1000212000210 is an abundant number, since it is smaller than the sum of its proper divisors (1714161417390).

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

1000212000210 is a wasteful number, since it uses less digits than its factorization.

1000212000210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134432 (or 134429 counting only the distinct ones).

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

Adding to 1000212000210 its reverse (120002120001), we get a palindrome (1120214120211).

The spelling of 1000212000210 in words is "one trillion, two hundred twelve million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 3697 7394 11091 18485 22182 33273 36970 55455 66546 85031 110910 130699 166365 170062 255093 261398 332730 392097 425155 510186 653495 765279 784194 850310 1176291 1275465 1306990 1530558 1960485 2352582 2550930 3006077 3826395 3920970 5881455 6012154 7652790 9018231 11762910 15030385 18036462 27054693 30060770 45091155 54109386 90182310 135273465 270546930 483194203 966388406 1449582609 2415971015 2899165218 4348747827 4831942030 7247913045 8697495654 11113466669 14495826090 21743739135 22226933338 33340400007 43487478270 55567333345 66680800014 100021200021 111134666690 166702000035 200042400042 333404000070 500106000105 1000212000210