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11244422444211 = 32112323743134951
BaseRepresentation
bin1010001110100000101111…
…0011100011010010110011
31110210221211010121100021100
42203220023303203102303
52433212034121203321
635525341044455443
72240245161525435
oct243501363432263
943727733540240
1011244422444211
113645807367a20
1213172b23aa583
13637462ab6578
142ac339302655
1514775e9d4326
hexa3a0bce34b3

11244422444211 has 144 divisors (see below), whose sum is σ = 19465489435392. Its totient is φ = 6194787984000.

The previous prime is 11244422444207. The next prime is 11244422444219.

11244422444211 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 4 + 4 + 224 + 4 + 421 + 1 = 666.

11244422444211 is nontrivially palindromic in base 10.

11244422444211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11244422444211 - 22 = 11244422444207 is a prime.

It is a super-2 number, since 2×112444224442112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11244422444219) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 83254786 + ... + 83389736.

It is an arithmetic number, because the mean of its divisors is an integer number (135177009968).

Almost surely, 211244422444211 is an apocalyptic number.

11244422444211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11244422444211 is a deficient number, since it is larger than the sum of its proper divisors (8221066991181).

11244422444211 is a wasteful number, since it uses less digits than its factorization.

11244422444211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135094 (or 135068 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

It can be divided in two parts, 1124442 and 2444211, that added together give a palindrome (3568653).

The spelling of 11244422444211 in words is "eleven trillion, two hundred forty-four billion, four hundred twenty-two million, four hundred forty-four thousand, two hundred eleven".

Divisors: 1 3 9 11 23 33 37 43 69 99 111 129 207 253 333 387 407 473 529 759 851 989 1221 1419 1587 1591 2277 2553 2967 3663 4257 4761 4773 5819 7659 8901 9361 10879 14319 17457 17501 19573 22747 28083 32637 36593 52371 52503 58719 68241 84249 97911 109779 134951 157509 176157 204723 215303 250217 329337 402523 404853 645909 750651 841639 1207569 1214559 1484461 1937727 2251953 2524917 3103873 3622707 4453383 4993187 5802893 7574751 9258029 9311619 13360149 14979561 17408679 27774087 27934857 34142603 44938683 52226037 54925057 63831823 71389079 83322261 102427809 114843301 133466539 164775171 191495469 214167237 214707041 307283427 344529903 400399617 494325513 574486407 642501711 644121123 785279869 1033589709 1201198851 1263276311 1468131929 1932363369 2355839607 2361777451 2641395923 3069730397 3789828933 4404395787 4938261943 7067518821 7085332353 7924187769 9209191191 11369486799 13213187361 14814785829 21255997059 23772563307 27627573573 29055355153 33767034367 44444357487 54320881373 87166065459 101301103101 113580024689 162962644119 261498196377 303903309303 340740074067 488887932357 1022220222201 1249380271579 3748140814737 11244422444211