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2111212120212 = 22321343122385781
BaseRepresentation
bin11110101110001110000…
…011000110100010010100
321110211102000001220200100
4132232032003012202110
5234042230300321322
64253513310414100
7305346542633466
oct36561603064224
97424360056610
102111212120212
117443a6225838
122a1200801330
13124117c0a370
147427ca3a136
1539db6706dac
hex1eb8e0c6894

2111212120212 has 144 divisors (see below), whose sum is σ = 5885721249408. Its totient is φ = 633970471680.

The previous prime is 2111212120207. The next prime is 2111212120243. The reversal of 2111212120212 is 2120212121112.

2111212120212 is a `hidden beast` number, since 211 + 121 + 2 + 120 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24568762 + ... + 24654542.

It is an arithmetic number, because the mean of its divisors is an integer number (40873064232).

Almost surely, 22111212120212 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 2111212120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2942860624704).

2111212120212 is an abundant number, since it is smaller than the sum of its proper divisors (3774509129196).

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

2111212120212 is a wasteful number, since it uses less digits than its factorization.

2111212120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87070 (or 87065 counting only the distinct ones).

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

Adding to 2111212120212 its reverse (2120212121112), we get a palindrome (4231424241324).

The spelling of 2111212120212 in words is "two trillion, one hundred eleven billion, two hundred twelve million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 43 52 78 86 117 129 156 172 234 258 387 468 516 559 774 1118 1223 1548 1677 2236 2446 3354 3669 4892 5031 6708 7338 10062 11007 14676 15899 20124 22014 31798 44028 47697 52589 63596 85781 95394 105178 143091 157767 171562 190788 210356 257343 286182 315534 343124 473301 514686 572364 631068 683657 772029 946602 1029372 1115153 1367314 1544058 1893204 2050971 2230306 2734628 3088116 3345459 3688583 4101942 4460612 6152913 6690918 7377166 8203884 10036377 11065749 12305826 13381836 14754332 20072754 22131498 24611652 33197247 40145508 44262996 47951579 66394494 95903158 104910163 132788988 143854737 191806316 209820326 287709474 314730489 419640652 431564211 575418948 629460978 863128422 944191467 1258921956 1363832119 1726256844 1888382934 2727664238 3776765868 4091496357 4511137009 5455328476 8182992714 9022274018 12274489071 13533411027 16365985428 18044548036 24548978142 27066822054 40600233081 49097956284 54133644108 58644781117 81200466162 117289562234 162400932324 175934343351 234579124468 351868686702 527803030053 703737373404 1055606060106 2111212120212