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10212021100212 = 22319229372196967
BaseRepresentation
bin1001010010011010101111…
…1000111101111010110100
31100011021000022100002201120
42110212223320331322310
52314303204400201322
633415200541023540
72102536255065561
oct224465370757264
940137008302646
1010212021100212
113287991758788
12118b1a9254bb0
13590cb2ab9339
1427439b961868
1512a988904a5c
hex949abe3deb4

10212021100212 has 144 divisors (see below), whose sum is σ = 26718470271360. Its totient is φ = 3029493083904.

The previous prime is 10212021100181. The next prime is 10212021100247. The reversal of 10212021100212 is 21200112021201.

It is a junction number, because it is equal to n+sod(n) for n = 10212021100191 and 10212021100200.

It is a congruent number.

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, 3549753 + ... + 5746719.

It is an arithmetic number, because the mean of its divisors is an integer number (185544932440).

Almost surely, 210212021100212 is an apocalyptic number.

10212021100212 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 10212021100212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13359235135680).

10212021100212 is an abundant number, since it is smaller than the sum of its proper divisors (16506449171148).

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

10212021100212 is a wasteful number, since it uses less digits than its factorization.

10212021100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197078 (or 2197057 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10212021100212 its reverse (21200112021201), we get a palindrome (31412133121413).

The spelling of 10212021100212 in words is "ten trillion, two hundred twelve billion, twenty-one million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 29 37 38 57 58 74 76 87 111 114 116 148 174 222 228 348 361 444 551 703 722 1073 1083 1102 1406 1444 1653 2109 2146 2166 2204 2812 3219 3306 4218 4292 4332 6438 6612 8436 10469 12876 13357 20387 20938 26714 31407 40071 40774 41876 53428 61161 62814 80142 81548 122322 125628 160284 244644 387353 774706 1162059 1549412 2196967 2324118 4393934 4648236 6590901 8787868 13181802 26363604 41742373 63712043 81287779 83484746 125227119 127424086 162575558 166969492 191136129 243863337 250454238 254848172 325151116 382272258 487726674 500908476 764544516 793105087 975453348 1210528817 1544467801 1586210174 2357345591 2379315261 2421057634 3088935602 3172420348 3631586451 4633403403 4714691182 4758630522 4842115268 6177871204 7072036773 7263172902 9266806806 9429382364 9517261044 14144073546 14526345804 18533613612 23000047523 28288147092 29344888219 44789566229 46000095046 58689776438 69000142569 88034664657 89579132458 92000190092 117379552876 134368698687 138000285138 176069329314 179158264916 268737397374 276000570276 352138658628 537474794748 851001758351 1702003516702 2553005275053 3404007033404 5106010550106 10212021100212