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10110200111220 = 22351128573162439
BaseRepresentation
bin1001001100011111011011…
…1000101110000001110100
31022210112012020011221012010
42103013312320232001310
52311121142212024340
633300321203524220
72062303120004346
oct223076670560164
938715166157163
1010110200111220
113248791432700
121173511689670
13584506c4b221
1426d49cb23296
15127ec98b7b80
hex931f6e2e074

10110200111220 has 144 divisors (see below), whose sum is σ = 31119841952640. Its totient is φ = 2450656623360.

The previous prime is 10110200111197. The next prime is 10110200111227. The reversal of 10110200111220 is 2211100201101.

10110200111220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101102001112202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10110200111196 and 10110200111205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110200111227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62158761 + ... + 62321199.

It is an arithmetic number, because the mean of its divisors is an integer number (216110013560).

Almost surely, 210110200111220 is an apocalyptic number.

10110200111220 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 10110200111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15559920976320).

10110200111220 is an abundant number, since it is smaller than the sum of its proper divisors (21009641841420).

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

10110200111220 is a wasteful number, since it uses less digits than its factorization.

10110200111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171046 (or 171033 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10110200111220 its reverse (2211100201101), we get a palindrome (12321300312321).

The spelling of 10110200111220 in words is "ten trillion, one hundred ten billion, two hundred million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 7260 8573 17146 25719 34292 42865 51438 85730 94303 102876 128595 162439 171460 188606 257190 282909 324878 377212 471515 487317 514380 565818 649756 812195 943030 974634 1037333 1131636 1414545 1624390 1786829 1886060 1949268 2074666 2436585 2829090 3111999 3248780 3573658 4149332 4873170 5186665 5360487 5658180 6223998 7147316 8934145 9746340 10373330 10720974 12447996 15559995 17868290 19655119 20746660 21441948 26802435 31119990 35736580 39310238 53604870 58965357 62239980 78620476 98275595 107209740 117930714 196551190 235861428 294826785 393102380 589653570 1179307140 1392589547 2785179094 4177768641 5570358188 6962947735 8355537282 13925895470 15318485017 16711074564 20888843205 27851790940 30636970034 41777686410 45955455051 61273940068 76592425085 83555372820 91910910102 153184850170 168503335187 183821820204 229777275255 306369700340 337006670374 459554550510 505510005561 674013340748 842516675935 919109101020 1011020011122 1685033351870 2022040022244 2527550027805 3370066703740 5055100055610 10110200111220