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210000212221212 = 223275928374978607
BaseRepresentation
bin101111101111111001111100…
…000011010101110100011100
31000112112211020212012021011200
4233233321330003111310130
5210011120413312034322
62022344433215115500
762143005011556630
oct5757717403256434
91015484225167150
10210000212221212
1160a046541172a6
121b677546212b90
139023c2039028a
1439c00c8dd6dc0
1519428c29528ac
hexbefe7c0d5d1c

210000212221212 has 144 divisors (see below), whose sum is σ = 617167365534720. Its totient is φ = 58962307948416.

The previous prime is 210000212221141. The next prime is 210000212221213. The reversal of 210000212221212 is 212122212000012.

It is a happy number.

210000212221212 is a `hidden beast` number, since 21 + 0 + 0 + 0 + 0 + 212 + 221 + 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 not an unprimeable number, because it can be changed into a prime (210000212221213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39691213 + ... + 44669819.

It is an arithmetic number, because the mean of its divisors is an integer number (4285884482880).

Almost surely, 2210000212221212 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 210000212221212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308583682767360).

210000212221212 is an abundant number, since it is smaller than the sum of its proper divisors (407167153313508).

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

210000212221212 is a wasteful number, since it uses less digits than its factorization.

210000212221212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4981520 (or 4981515 counting only the distinct ones).

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

Adding to 210000212221212 its reverse (212122212000012), we get a palindrome (422122424221224).

The spelling of 210000212221212 in words is "two hundred ten trillion, two hundred twelve million, two hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 59 63 84 118 126 177 236 252 354 413 531 708 826 1062 1239 1652 2124 2478 2837 3717 4956 5674 7434 8511 11348 14868 17022 19859 25533 34044 39718 51066 59577 79436 102132 119154 167383 178731 238308 334766 357462 502149 669532 714924 1004298 1171681 1506447 2008596 2343362 3012894 3515043 4686724 4978607 6025788 7030086 9957214 10545129 14060172 14935821 19914428 21090258 29871642 34850249 42180516 44807463 59743284 69700498 89614926 104550747 139400996 179229852 209101494 293737813 313652241 418202988 587475626 627304482 881213439 1174951252 1254608964 1762426878 2056164691 2643640317 3524853756 4112329382 5287280634 6168494073 8224658764 10574561268 12336988146 14124308059 18505482219 24673976292 28248616118 37010964438 42372924177 56497232236 74021928876 84745848354 98870156413 127118772531 169491696708 197740312826 254237545062 296610469239 395480625652 508475090124 593220938478 833334175481 889831407717 1186441876956 1666668350962 1779662815434 2500002526443 3333336701924 3559325630868 5000005052886 5833339228367 7500007579329 10000010105772 11666678456734 15000015158658 17500017685101 23333356913468 30000030317316 35000035370202 52500053055303 70000070740404 105000106110606 210000212221212