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10000002010212 = 22324316693870551
BaseRepresentation
bin1001000110000100111010…
…0100010100110001100100
31022101222202100000101022200
42101201032210110301210
52302320001003311322
633133534300054500
72051322241416054
oct221411644246144
938358670011280
1010000002010212
113205a82487355
121156098534430
13576cc46b04b6
142680074d3564
151251ca1dd8ac
hex9184e914c64

10000002010212 has 72 divisors (see below), whose sum is σ = 25881142647360. Its totient is φ = 3253863009600.

The previous prime is 10000002010157. The next prime is 10000002010259. The reversal of 10000002010212 is 21201020000001.

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 = 10000002010194 and 10000002010203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 648337 + ... + 4518887.

Almost surely, 210000002010212 is an apocalyptic number.

10000002010212 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 10000002010212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12940571323680).

10000002010212 is an abundant number, since it is smaller than the sum of its proper divisors (15881140637148).

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

10000002010212 is a wasteful number, since it uses less digits than its factorization.

10000002010212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3872273 (or 3872268 counting only the distinct ones).

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

Adding to 10000002010212 its reverse (21201020000001), we get a palindrome (31201022010213).

The spelling of 10000002010212 in words is "ten trillion, two million, ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 1669 3338 5007 6676 10014 15021 20028 30042 60084 71767 143534 215301 287068 430602 645903 861204 1291806 2583612 3870551 7741102 11611653 15482204 23223306 34834959 46446612 69669918 139339836 166433693 332867386 499301079 665734772 998602158 1497903237 1997204316 2995806474 5991612948 6459949619 12919899238 19379848857 25839798476 38759697714 58139546571 77519395428 116279093142 232558186284 277777833617 555555667234 833333500851 1111111334468 1666667001702 2500000502553 3333334003404 5000001005106 10000002010212