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211002101212 = 227191676613593
BaseRepresentation
bin1100010010000010110…
…1001000110111011100
3202011122002200100001111
43010200231020313130
511424113014214322
6240533311151404
721146554160560
oct3044055106734
9664562610044
10211002101212
1181538204731
1234a88215564
1316b88801036
14a2d937b6a0
15574e2cb177
hex3120b48ddc

211002101212 has 96 divisors (see below), whose sum is σ = 447675540480. Its totient is φ = 85004536320.

The previous prime is 211002101207. The next prime is 211002101221. The reversal of 211002101212 is 212101200112.

It is a junction number, because it is equal to n+sod(n) for n = 211002101192 and 211002101201.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 58724088 + ... + 58727680.

It is an arithmetic number, because the mean of its divisors is an integer number (4663286880).

Almost surely, 2211002101212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211002101212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223837770240).

211002101212 is an abundant number, since it is smaller than the sum of its proper divisors (236673439268).

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

211002101212 is a wasteful number, since it uses less digits than its factorization.

211002101212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4451 (or 4449 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211002101212 its reverse (212101200112), we get a palindrome (423103301324).

The spelling of 211002101212 in words is "two hundred eleven billion, two million, one hundred one thousand, two hundred twelve".

Divisors: 1 2 4 7 14 19 28 38 76 133 167 266 334 532 661 668 1169 1322 2338 2644 3173 3593 4627 4676 6346 7186 9254 12559 12692 14372 18508 22211 25118 25151 44422 50236 50302 68267 87913 88844 100604 110387 136534 175826 220774 273068 351652 441548 477869 600031 772709 955738 1200062 1545418 1911476 2097353 2374973 2400124 3090836 4194706 4200217 4749946 8389412 8400434 9499892 11400589 14681471 16624811 16800868 22801178 29362942 33249622 45124487 45602356 58725884 66499244 79804123 90248974 159608246 180497948 315871409 319216492 396620491 631742818 793240982 1263485636 1586481964 2776343437 5552686874 7535789329 11105373748 15071578658 30143157316 52750525303 105501050606 211002101212