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11222212202010 = 23251721192336187
BaseRepresentation
bin1010001101001101111111…
…1110001100111000011010
31110201211111021010010201100
42203103133332030320122
52432331042310431020
635511225122132230
72235530610553635
oct243233776147032
943654437103640
1011222212202010
11363734a253257
121312b341b1076
13635333532414
142ab22d674c1c
15146daebc6a90
hexa34dff8ce1a

11222212202010 has 144 divisors (see below), whose sum is σ = 30998507338656. Its totient is φ = 2816241163776.

The previous prime is 11222212202009. The next prime is 11222212202017. The reversal of 11222212202010 is 1020221222211.

It is a happy number.

11222212202010 is a `hidden beast` number, since 1 + 1 + 22 + 221 + 220 + 201 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11222212202017) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 310099137 + ... + 310135323.

It is an arithmetic number, because the mean of its divisors is an integer number (215267412074).

Almost surely, 211222212202010 is an apocalyptic number.

11222212202010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11222212202010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15499253669328).

11222212202010 is an abundant number, since it is smaller than the sum of its proper divisors (19776295136646).

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

11222212202010 is a wasteful number, since it uses less digits than its factorization.

11222212202010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48157 (or 48137 counting only the distinct ones).

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

Adding to 11222212202010 its reverse (1020221222211), we get a palindrome (12242433424221).

The spelling of 11222212202010 in words is "eleven trillion, two hundred twenty-two billion, two hundred twelve million, two hundred two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 289 306 510 578 765 867 1445 1530 1734 2601 2890 4335 5202 8670 11923 13005 23846 26010 35769 36187 59615 71538 72374 107307 108561 119230 178845 180935 202691 214614 217122 325683 357690 361870 405382 536535 542805 608073 615179 651366 1013455 1073070 1085610 1216146 1230358 1628415 1824219 1845537 2026910 3040365 3075895 3256830 3445747 3648438 3691074 5536611 6080730 6151790 6891494 9121095 9227685 10337241 10458043 11073222 17228735 18242190 18455370 20674482 20916086 27683055 31011723 31374129 34457470 51686205 52290215 55366110 62023446 62748258 94122387 103372410 104580430 155058615 156870645 188244774 310117230 313741290 431457601 470611935 862915202 941223870 1294372803 2157288005 2588745606 3883118409 4314576010 6471864015 7334779217 7766236818 12943728030 14669558434 19415592045 22004337651 36673896085 38831184090 44008675302 66013012953 73347792170 110021688255 124691246689 132026025906 220043376510 249382493378 330065064765 374073740067 623456233445 660130129530 748147480134 1122221220201 1246912466890 1870368700335 2244442440402 3740737400670 5611106101005 11222212202010