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211211002120212 = 2236151479680507
BaseRepresentation
bin110000000001100001100100…
…110000010000100000010100
31000200211120111220000001000000
4300001201210300100200110
5210140440113020321322
62025112554520451300
762326330346111313
oct6001414460204024
91020746456001000
10211211002120212
11613310a048a196
121b832135319b30
1390b115c1bc7b3
143a2294a54027a
151964139a2a3ac
hexc01864c10814

211211002120212 has 84 divisors (see below), whose sum is σ = 557845406139616. Its totient is φ = 69937417774800.

The previous prime is 211211002120189. The next prime is 211211002120243. The reversal of 211211002120212 is 212021200112112.

211211002120212 is a `hidden beast` number, since 21 + 121 + 100 + 212 + 0 + 212 = 666.

It is a super-2 number, since 2×2112110021202122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 239399938 + ... + 240280569.

Almost surely, 2211211002120212 is an apocalyptic number.

It is an amenable number.

211211002120212 is an abundant number, since it is smaller than the sum of its proper divisors (346634404019404).

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

211211002120212 is a wasteful number, since it uses less digits than its factorization.

211211002120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479680680 (or 479680663 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211211002120212 its reverse (212021200112112), we get a palindrome (423232202232324).

The spelling of 211211002120212 in words is "two hundred eleven trillion, two hundred eleven billion, two million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 151 162 243 302 324 453 486 604 729 906 972 1359 1458 1812 2718 2916 4077 5436 8154 12231 16308 24462 36693 48924 73386 110079 146772 220158 440316 479680507 959361014 1439041521 1918722028 2878083042 4317124563 5756166084 8634249126 12951373689 17268498252 25902747378 38854121067 51805494756 72431756557 77708242134 116562363201 144863513114 155416484268 217295269671 233124726402 289727026228 349687089603 434590539342 466249452804 651885809013 699374179206 869181078684 1303771618026 1398748358412 1955657427039 2607543236052 3911314854078 5866972281117 7822629708156 11733944562234 17600916843351 23467889124468 35201833686702 52802750530053 70403667373404 105605501060106 211211002120212