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211202220121112 = 23114770019729293
BaseRepresentation
bin110000000001011001011001…
…010011100101110000011000
31000200210201211212010021000002
4300001121121103211300120
5210140314121322333422
62025104543244032132
762325566621256353
oct6001313123456030
91020721755107002
10211202220121112
11613283a42562a0
121b8304a4232648
1390b038c95a01c
143a2235607529a
151963cc3a61692
hexc016594e5c18

211202220121112 has 64 divisors (see below), whose sum is σ = 441203033203200. Its totient is φ = 93956963751040.

The previous prime is 211202220121103. The next prime is 211202220121117. The reversal of 211202220121112 is 211121022202112.

It is a super-3 number, since 3×2112022201211123 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211202220121117) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 289233938 + ... + 289963230.

It is an arithmetic number, because the mean of its divisors is an integer number (6893797393800).

Almost surely, 2211202220121112 is an apocalyptic number.

211202220121112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211202220121112 is an abundant number, since it is smaller than the sum of its proper divisors (230000813082088).

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

211202220121112 is a wasteful number, since it uses less digits than its factorization.

211202220121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799376 (or 799372 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 211202220121112 its reverse (211121022202112), we get a palindrome (422323242323224).

The spelling of 211202220121112 in words is "two hundred eleven trillion, two hundred two billion, two hundred twenty million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 47 88 94 188 376 517 1034 2068 4136 70019 140038 280076 560152 729293 770209 1458586 1540418 2917172 3080836 3290893 5834344 6161672 6581786 8022223 13163572 16044446 26327144 32088892 34276771 36199823 64177784 68553542 72399646 137107084 144799292 274214168 289598584 377044481 754088962 1508177924 3016355848 51064366567 102128733134 204257466268 408514932536 561708032237 1123416064474 2246832128948 2400025228649 4493664257896 4800050457298 9600100914596 19200201829192 26400277515139 52800555030278 105601110060556 211202220121112