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11222112110022 = 23211217304199667
BaseRepresentation
bin1010001101001101101000…
…0000011000010111000110
31110201211020021202221022200
42203103122000120113012
52432330341200010042
635511211144535330
72235525254026362
oct243233200302706
943654207687280
1011222112110022
1136372a87a9700
121312b06781546
13635318888aa8
142ab22025c2a2
15146da6004c4c
hexa34da0185c6

11222112110022 has 144 divisors (see below), whose sum is σ = 28307642768496. Its totient is φ = 3199517798400.

The previous prime is 11222112109973. The next prime is 11222112110081. The reversal of 11222112110022 is 22001121122211.

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 = 11222112109977 and 11222112110004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 112546233 + ... + 112645899.

It is an arithmetic number, because the mean of its divisors is an integer number (196580852559).

Almost surely, 211222112110022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11222112110022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14153821384248).

11222112110022 is an abundant number, since it is smaller than the sum of its proper divisors (17085530658474).

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

11222112110022 is a wasteful number, since it uses less digits than its factorization.

11222112110022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102755 (or 102741 counting only the distinct ones).

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

Adding to 11222112110022 its reverse (22001121122211), we get a palindrome (33223233232233).

The spelling of 11222112110022 in words is "eleven trillion, two hundred twenty-two billion, one hundred twelve million, one hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 121 153 187 198 242 306 363 374 561 726 1089 1122 1683 2057 2178 3041 3366 4114 6082 6171 9123 12342 18246 18513 27369 33451 37026 51697 54738 66902 99667 100353 103394 155091 199334 200706 299001 301059 310182 367961 465273 568667 598002 602118 735922 897003 930546 1096337 1103883 1137334 1694339 1706001 1794006 2192674 2207766 3289011 3311649 3388678 3412002 5083017 5118003 6255337 6578022 6623298 9867033 10166034 10236006 12059707 12510674 15249051 18637729 18766011 19734066 24119414 30498102 36179121 37275458 37532022 55913187 56298033 72358242 108537363 111826374 112596066 167739561 205015019 217074726 303087347 335479122 410030038 606174694 615045057 909262041 1230090114 1818524082 1845135171 2727786123 3333960817 3690270342 5152484899 5455572246 6667921634 10001882451 10304969798 15457454697 20003764902 30005647353 30914909394 36673568987 46372364091 56677333889 60011294706 73347137974 92744728182 110020706961 113354667778 170032001667 220041413922 330062120883 340064003334 510096005001 623450672779 660124241766 1020192010002 1246901345558 1870352018337 3740704036674 5611056055011 11222112110022