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1021210000212 = 2231937985712281
BaseRepresentation
bin11101101110001001101…
…10111111101101010100
310121121220212210001222110
432313010312333231110
5113212414230001322
62101045402231020
7133531351531233
oct16670466775524
93547825701873
101021210000212
11364102470a96
12145b011b5470
13753b855961c
14375d9302b1a
151b86d845c0c
hexedc4dbfb54

1021210000212 has 96 divisors (see below), whose sum is σ = 2576496343680. Its totient is φ = 313714114560.

The previous prime is 1021210000163. The next prime is 1021210000219. The reversal of 1021210000212 is 2120000121201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021210000219) 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, 83147512 + ... + 83159792.

It is an arithmetic number, because the mean of its divisors is an integer number (26838503580).

Almost surely, 21021210000212 is an apocalyptic number.

1021210000212 is a gapful number since it is divisible by the number (12) 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 1021210000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288248171840).

1021210000212 is an abundant number, since it is smaller than the sum of its proper divisors (1555286343468).

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

1021210000212 is a wasteful number, since it uses less digits than its factorization.

1021210000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22201 (or 22199 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1021210000212 its reverse (2120000121201), we get a palindrome (3141210121413).

The spelling of 1021210000212 in words is "one trillion, twenty-one billion, two hundred ten million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 19 37 38 57 74 76 111 114 148 222 228 444 703 1406 2109 2812 4218 8436 9857 12281 19714 24562 29571 36843 39428 49124 59142 73686 118284 147372 187283 233339 364709 374566 454397 466678 561849 700017 729418 749132 908794 933356 1094127 1123698 1363191 1400034 1458836 1817588 2188254 2247396 2726382 2800068 4376508 5452764 6929471 8633543 13858942 17267086 20788413 25900629 27717884 34534172 41576826 51801258 83153652 103602516 121053817 242107634 363161451 484215268 726322902 1452645804 2300022523 4478991229 4600045046 6900067569 8957982458 9200090092 13436973687 13800135138 17915964916 26873947374 27600270276 53747894748 85100833351 170201666702 255302500053 340403333404 510605000106 1021210000212