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11212122101202 = 23311179170961703
BaseRepresentation
bin1010001100101000011010…
…0011100001010111010010
31110200212110001210220112000
42203022012203201113102
52432144411224214302
635502440000214430
72235022560246261
oct243120643412722
943625401726460
1011212122101202
113633041699170
121310b9900a416
136343b5c89179
142aa95357a5d8
151469bde6c31c
hexa32868e15d2

11212122101202 has 128 divisors (see below), whose sum is σ = 27349187328000. Its totient is φ = 3376599992640.

The previous prime is 11212122101197. The next prime is 11212122101221. The reversal of 11212122101202 is 20210122121211.

11212122101202 is a `hidden beast` number, since 1 + 121 + 212 + 210 + 120 + 2 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 181680283 + ... + 181741985.

It is an arithmetic number, because the mean of its divisors is an integer number (213665526000).

Almost surely, 211212122101202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11212122101202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13674593664000).

11212122101202 is an abundant number, since it is smaller than the sum of its proper divisors (16137065226798).

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

11212122101202 is a wasteful number, since it uses less digits than its factorization.

11212122101202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63613 (or 63607 counting only the distinct ones).

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

Adding to 11212122101202 its reverse (20210122121211), we get a palindrome (31422244222413).

The spelling of 11212122101202 in words is "eleven trillion, two hundred twelve billion, one hundred twenty-two million, one hundred one thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 179 198 297 358 537 594 1074 1611 1709 1969 3222 3418 3938 4833 5127 5907 9666 10254 11814 15381 17721 18799 30762 35442 37598 46143 53163 56397 61703 92286 106326 112794 123406 169191 185109 305911 338382 370218 507573 555327 611822 678733 917733 1015146 1110654 1357466 1665981 1835466 2036199 2753199 3331962 3365021 4072398 5506398 6108597 6730042 8259597 10095063 11044837 12217194 16519194 18325791 20190126 22089674 30285189 33134511 36651582 60570378 66269022 90855567 99403533 105450427 121493207 181711134 198807066 210900854 242986414 298210599 316351281 364479621 596421198 632702562 728959242 949053843 1093438863 1159954697 1898107686 2186877726 2319909394 2847161529 3280316589 3479864091 5694323058 6560633178 6959728182 10439592273 18875626433 20879184546 31318776819 37751252866 56626879299 62637553638 113253758598 169880637897 207631890763 339761275794 415263781526 509641913691 622895672289 1019283827382 1245791344578 1868687016867 3737374033734 5606061050601 11212122101202