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11222112220020 = 223251328117066813
BaseRepresentation
bin1010001101001101101000…
…0000110011001101110100
31110201211020021222112012200
42203103122000303031310
52432330341212020040
635511211151144500
72235525254665152
oct243233200631564
943654207875180
1011222112220020
1136372a8874309
121312b06815130
136353188c6b90
142ab22028a3d2
15146da6027630
hexa34da033374

11222112220020 has 144 divisors (see below), whose sum is σ = 36789360792912. Its totient is φ = 2752535439360.

The previous prime is 11222112219977. The next prime is 11222112220051. The reversal of 11222112220020 is 2002221122211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 871784676 + 11221240435344 = 29526^2 + 3349812^2 .

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 = 11222112219975 and 11222112220002.

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, 7875867 + ... + 9190946.

It is an arithmetic number, because the mean of its divisors is an integer number (255481672173).

Almost surely, 211222112220020 is an apocalyptic number.

11222112220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11222112220020 is an abundant number, since it is smaller than the sum of its proper divisors (25567248572892).

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

11222112220020 is a wasteful number, since it uses less digits than its factorization.

11222112220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17067122 (or 17067117 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11222112220020 its reverse (2002221122211), we get a palindrome (13224333342231).

The spelling of 11222112220020 in words is "eleven trillion, two hundred twenty-two billion, one hundred twelve million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 281 390 468 562 585 780 843 1124 1170 1405 1686 2340 2529 2810 3372 3653 4215 5058 5620 7306 8430 10116 10959 12645 14612 16860 18265 21918 25290 32877 36530 43836 50580 54795 65754 73060 109590 131508 164385 219180 328770 657540 17066813 34133626 51200439 68267252 85334065 102400878 153601317 170668130 204801756 221868569 256002195 307202634 341336260 443737138 512004390 614405268 665605707 768006585 887474276 1024008780 1109342845 1331211414 1536013170 1996817121 2218685690 2662422828 3072026340 3328028535 3993634242 4437371380 4795774453 6656057070 7987268484 9591548906 9984085605 13312114140 14387323359 19183097812 19968171210 23978872265 28774646718 39936342420 43161970077 47957744530 57549293436 62345067889 71936616795 86323940154 95915489060 124690135778 143873233590 172647880308 187035203667 215809850385 249380271556 287746467180 311725339445 374070407334 431619700770 561105611001 623450678890 748140814668 863239401540 935176018335 1122211222002 1246901357780 1870352036670 2244422444004 2805528055005 3740704073340 5611056110010 11222112220020