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11011021221222 = 2331126612549453
BaseRepresentation
bin1010000000111011010000…
…0000100010110101100110
31102222122101000000201121000
42200032310000202311212
52420401032413034342
635230220542334130
72214343241052531
oct240166400426546
942878330021530
1011011021221222
113565825471600
12129a01488a346
1361b44786b929
142a0d171aba18
1514164e03b44c
hexa03b4022d66

11011021221222 has 96 divisors (see below), whose sum is σ = 26936307226080. Its totient is φ = 3331623873600.

The previous prime is 11011021221209. The next prime is 11011021221223. The reversal of 11011021221222 is 22212212011011.

11011021221222 is a `hidden beast` number, since 110 + 110 + 2 + 1 + 221 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11011021221195 and 11011021221204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011021221223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3044248 + ... + 5593700.

It is an arithmetic number, because the mean of its divisors is an integer number (280586533605).

Almost surely, 211011021221222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11011021221222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13468153613040).

11011021221222 is an abundant number, since it is smaller than the sum of its proper divisors (15925286004858).

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

11011021221222 is a wasteful number, since it uses less digits than its factorization.

11011021221222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2550147 (or 2550130 counting only the distinct ones).

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

Adding to 11011021221222 its reverse (22212212011011), we get a palindrome (33223233232233).

The spelling of 11011021221222 in words is "eleven trillion, eleven billion, twenty-one million, two hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 661 726 1089 1322 1983 2178 3267 3966 5949 6534 7271 11898 14542 17847 21813 35694 43626 65439 79981 130878 159962 196317 239943 392634 479886 719829 1439658 2159487 2549453 4318974 5098906 7648359 15296718 22945077 28043983 45890154 56087966 68835231 84131949 137670462 168263898 252395847 308483813 504791694 616967626 757187541 925451439 1514375082 1685188433 1850902878 2776354317 3370376866 5055565299 5552708634 8329062951 10111130598 15166695897 16658125902 18537072763 30333391794 37074145526 45500087691 55611218289 91000175382 111222436578 166833654867 203907800393 333667309734 407815600786 500500964601 611723401179 1001001929202 1223446802358 1835170203537 3670340407074 5505510610611 11011021221222