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211210012120002 = 23737615099436967
BaseRepresentation
bin110000000001100000101001…
…101111101101001111000010
31000200211110221220010211000120
4300001200221233231033002
5210140431101100320002
62025112312353401110
762326263665206320
oct6001405157551702
91020743856124016
10211210012120002
11613307326763a5
121b831ab9869196
1390b103207405c
143a22894c76d10
1519640ccb71cbc
hexc01829bed3c2

211210012120002 has 128 divisors (see below), whose sum is σ = 504041539276800. Its totient is φ = 57740757154560.

The previous prime is 211210012120001. The next prime is 211210012120069. The reversal of 211210012120002 is 200021210012112.

It is not an unprimeable number, because it can be changed into a prime (211210012120001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 483136123 + ... + 483573089.

It is an arithmetic number, because the mean of its divisors is an integer number (3937824525600).

Almost surely, 2211210012120002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211210012120002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252020769638400).

211210012120002 is an abundant number, since it is smaller than the sum of its proper divisors (292831527156798).

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

211210012120002 is a wasteful number, since it uses less digits than its factorization.

211210012120002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442176.

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

Adding to 211210012120002 its reverse (200021210012112), we get a palindrome (411231222132114).

The spelling of 211210012120002 in words is "two hundred eleven trillion, two hundred ten billion, twelve million, one hundred twenty thousand, two".

Divisors: 1 2 3 6 7 14 21 37 42 61 74 111 122 183 222 259 366 427 518 777 854 1281 1554 2257 2562 4514 5099 6771 10198 13542 15297 15799 30594 31598 35693 47397 71386 94794 107079 188663 214158 311039 377326 436967 565989 622078 873934 933117 1131978 1310901 1320641 1866234 2177273 2621802 2641282 3058769 3961923 4354546 6117538 6531819 7923846 9176307 11508443 13063638 16167779 18352614 23016886 26654987 32335558 34525329 48503337 53309974 69050658 79964961 80559101 97006674 113174453 159929922 161118202 186584909 226348906 241677303 339523359 373169818 483354606 559754727 679046718 986234519 1119509454 1972469038 2228094733 2958703557 4456189466 5917407114 6684284199 6903641633 13368568398 13807283266 15596663131 20710924899 31193326262 41421849798 46789989393 82439505121 93579978786 135913778713 164879010242 247318515363 271827557426 407741336139 494637030726 577076535847 815482672278 951396450991 1154153071694 1731229607541 1902792901982 2854189352973 3462459215082 5028809812381 5708378705946 10057619624762 15086429437143 30172858874286 35201668686667 70403337373334 105605006060001 211210012120002