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11233003220120 = 2351173517167631
BaseRepresentation
bin1010001101110110001100…
…1010101010110010011000
31110202212100022022122200202
42203131203022222302120
52433020142311020440
635520212003121332
72236362201653063
oct243354312526230
943685308278622
1011233003220120
113640987523940
121315046073248
13636363079436
142ab9748a58da
151472e2235615
hexa37632aac98

11233003220120 has 128 divisors (see below), whose sum is σ = 27955432903680. Its totient is φ = 4027934592000.

The previous prime is 11233003220113. The next prime is 11233003220123. The reversal of 11233003220120 is 2102230033211.

It is a super-2 number, since 2×112330032201202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11233003220092 and 11233003220101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11233003220123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166058705 + ... + 166126335.

It is an arithmetic number, because the mean of its divisors is an integer number (218401819560).

Almost surely, 211233003220120 is an apocalyptic number.

11233003220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11233003220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13977716451840).

11233003220120 is an abundant number, since it is smaller than the sum of its proper divisors (16722429683560).

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

11233003220120 is a wasteful number, since it uses less digits than its factorization.

11233003220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72897 (or 72893 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 11233003220120 its reverse (2102230033211), we get a palindrome (13335233253331).

The spelling of 11233003220120 in words is "eleven trillion, two hundred thirty-three billion, three million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 73 88 110 146 220 292 365 440 584 730 803 1460 1606 2920 3212 4015 5171 6424 8030 10342 16060 20684 25855 32120 41368 51710 56881 67631 103420 113762 135262 206840 227524 270524 284405 338155 377483 455048 541048 568810 676310 743941 754966 1137620 1352620 1487882 1509932 1887415 2275240 2705240 2975764 3019864 3719705 3774830 4152313 4937063 5951528 7439410 7549660 8304626 9874126 14878820 15099320 16609252 19748252 20761565 24685315 29757640 33218504 39496504 41523130 49370630 54307693 83046260 98741260 108615386 166092520 197482520 217230772 271538465 349719901 434461544 543076930 699439802 1086153860 1398879604 1748599505 2172307720 2797759208 3497199010 3846918911 6994398020 7693837822 13988796040 15387675644 19234594555 25529552773 30775351288 38469189110 51059105546 76938378220 102118211092 127647763865 153876756440 204236422184 255295527730 280825080503 510591055460 561650161006 1021182110920 1123300322012 1404125402515 2246600644024 2808250805030 5616501610060 11233003220120