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200101003212 = 2231119209938011
BaseRepresentation
bin1011101001011011110…
…0101111111111001100
3201010111101100011212010
42322112330233333030
511234301324100322
6231531454541220
720312455315005
oct2722674577714
9633441304763
10200101003212
1177953888430
1232945507810
1315b3c2244a6
1499836941ac
15531227620c
hex2e96f2ffcc

200101003212 has 96 divisors (see below), whose sum is σ = 536425344000. Its totient is φ = 57416385600.

The previous prime is 200101003181. The next prime is 200101003247. The reversal of 200101003212 is 212300101002.

It is a super-2 number, since 2×2001010032122 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5245287 + ... + 5283297.

It is an arithmetic number, because the mean of its divisors is an integer number (5587764000).

Almost surely, 2200101003212 is an apocalyptic number.

200101003212 is a gapful number since it is divisible by the number (22) 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 200101003212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268212672000).

200101003212 is an abundant number, since it is smaller than the sum of its proper divisors (336324340788).

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

200101003212 is a wasteful number, since it uses less digits than its factorization.

200101003212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40147 (or 40145 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 200101003212 its reverse (212300101002), we get a palindrome (412401104214).

The spelling of 200101003212 in words is "two hundred billion, one hundred one million, three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2099 2508 4198 6297 8396 12594 23089 25188 38011 39881 46178 69267 76022 79762 92356 114033 119643 138534 152044 159524 228066 239286 277068 418121 438691 456132 478572 722209 836242 877382 1254363 1316073 1444418 1672484 1754764 2166627 2508726 2632146 2888836 4333254 5017452 5264292 7944299 8666508 15888598 23832897 31777196 47665794 79785089 95331588 159570178 239355267 319140356 478710534 877635979 957421068 1515916691 1755271958 2632907937 3031833382 3510543916 4547750073 5265815874 6063666764 9095500146 10531631748 16675083601 18191000292 33350167202 50025250803 66700334404 100050501606 200101003212