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211200002212212 = 223313269559209487
BaseRepresentation
bin110000000001010111010101…
…000110111100000101110100
31000200210112010021201210222000
4300001113111012330011310
5210140300101031242322
62025103535214335300
762325460640330556
oct6001272506740564
91020715107653860
10211200002212212
1161327466304532
121b82bb854ba530
1390b00c82c7cb0
143a221c56954d6
151963be3ea83ac
hexc015d51bc174

211200002212212 has 96 divisors (see below), whose sum is σ = 591867322099200. Its totient is φ = 64743037451136.

The previous prime is 211200002212211. The next prime is 211200002212219. The reversal of 211200002212212 is 212212200002112.

It is a happy number.

211200002212212 is a `hidden beast` number, since 21 + 1 + 200 + 0 + 0 + 221 + 221 + 2 = 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 (211200002212211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279227068 + ... + 279982419.

It is an arithmetic number, because the mean of its divisors is an integer number (6165284605200).

Almost surely, 2211200002212212 is an apocalyptic number.

It is an amenable number.

211200002212212 is an abundant number, since it is smaller than the sum of its proper divisors (380667319886988).

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

211200002212212 is a wasteful number, since it uses less digits than its factorization.

211200002212212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559209782 (or 559209774 counting only the distinct ones).

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

Adding to 211200002212212 its reverse (212212200002112), we get a palindrome (423412202214324).

The spelling of 211200002212212 in words is "two hundred eleven trillion, two hundred billion, two million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 269 351 468 538 702 807 1076 1404 1614 2421 3228 3497 4842 6994 7263 9684 10491 13988 14526 20982 29052 31473 41964 62946 94419 125892 188838 377676 559209487 1118418974 1677628461 2236837948 3355256922 5032885383 6710513844 7269723331 10065770766 14539446662 15098656149 20131541532 21809169993 29078893324 30197312298 43618339986 60394624596 65427509979 87236679972 130855019958 150427352003 196282529937 261710039916 300854704006 392565059874 451282056009 601709408012 785130119748 902564112018 1353846168027 1805128224036 1955555576039 2707692336054 3911111152078 4061538504081 5415384672108 5866666728117 7822222304156 8123077008162 11733333456234 16246154016324 17600000184351 23466666912468 35200000368702 52800000553053 70400000737404 105600001106106 211200002212212