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10021222021212 = 2233101990192789
BaseRepresentation
bin1001000111010011111101…
…1000001111100001011100
31022111000112012012122001000
42101310333120033201130
52303141430314134322
633151404050350300
72053003136504253
oct221647730174134
938430465178030
1010021222021212
113213a8163a726
12115a21ab8b390
13578cc6a67a1c
1426905b83779a
15125a1d0e93ac
hex91d3f60f85c

10021222021212 has 96 divisors (see below), whose sum is σ = 26241115924800. Its totient is φ = 3306964320000.

The previous prime is 10021222021201. The next prime is 10021222021229. The reversal of 10021222021212 is 21212022212001.

It is a happy number.

10021222021212 is a `hidden beast` number, since 1 + 0 + 0 + 212 + 220 + 21 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 107953714 + ... + 108046502.

It is an arithmetic number, because the mean of its divisors is an integer number (273344957550).

Almost surely, 210021222021212 is an apocalyptic number.

10021222021212 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 10021222021212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13120557962400).

10021222021212 is an abundant number, since it is smaller than the sum of its proper divisors (16219893903588).

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

10021222021212 is a wasteful number, since it uses less digits than its factorization.

10021222021212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102804 (or 102796 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10021222021212 its reverse (21212022212001), we get a palindrome (31233244233213).

The spelling of 10021222021212 in words is "ten trillion, twenty-one billion, two hundred twenty-two million, twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 101 108 202 303 404 606 909 1212 1818 2727 3636 5454 9901 10908 19802 29703 39604 59406 89109 92789 118812 178218 185578 267327 278367 356436 371156 534654 556734 835101 1000001 1069308 1113468 1670202 2000002 2505303 3000003 3340404 4000004 5010606 6000006 9000009 9371689 10021212 12000012 18000018 18743378 27000027 28115067 36000036 37486756 54000054 56230134 84345201 108000108 112460268 168690402 253035603 337380804 506071206 918703889 1012142412 1837407778 2756111667 3674815556 5512223334 8268335001 11024446668 16536670002 24805005003 33073340004 49610010006 92789092789 99220020012 185578185578 278367278367 371156371156 556734556734 835101835101 1113469113468 1670203670202 2505305505303 3340407340404 5010611010606 10021222021212