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11242301556222 = 23211373114934327
BaseRepresentation
bin1010001110011000110101…
…1001000000010111111110
31110210202100022210001220100
42203212031121000113332
52433143213144244342
635524350402501530
72240141466343512
oct243461531002776
943722308701810
1011242301556222
113644919162430
121316a000648a6
136371b5594069
142ac1b777a142
151476886e2e4c
hexa398d6405fe

11242301556222 has 96 divisors (see below), whose sum is σ = 27378651815424. Its totient is φ = 3304024689600.

The previous prime is 11242301556217. The next prime is 11242301556263. The reversal of 11242301556222 is 22265510324211.

11242301556222 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 23 + 0 + 1 + 5 + 5 + 622 + 2 = 666.

11242301556222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188778 + ... + 4745549.

It is an arithmetic number, because the mean of its divisors is an integer number (285194289744).

Almost surely, 211242301556222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11242301556222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13689325907712).

11242301556222 is an abundant number, since it is smaller than the sum of its proper divisors (16136350259202).

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

11242301556222 is a wasteful number, since it uses less digits than its factorization.

11242301556222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4934694 (or 4934691 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 11242301556222 in words is "eleven trillion, two hundred forty-two billion, three hundred one million, five hundred fifty-six thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 311 333 407 622 666 814 933 1221 1866 2442 2799 3421 3663 5598 6842 7326 10263 11507 20526 23014 30789 34521 61578 69042 103563 126577 207126 253154 379731 759462 1139193 2278386 4934327 9868654 14802981 29605962 44408943 54277597 88817886 108555194 162832791 182570099 325665582 365140198 488498373 547710297 976996746 1095420594 1534575697 1643130891 2008271089 3069151394 3286261782 4016542178 4603727091 6024813267 9207454182 12049626534 13811181273 16880332667 18074439801 27622362546 33760665334 36148879602 50640998001 56779300789 101281996002 113558601578 151922994003 170337902367 303845988006 340675804734 511013707101 624572308679 1022027414202 1249144617358 1873716926037 3747433852074 5621150778111 11242301556222