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11110200001020 = 223253119131040813
BaseRepresentation
bin1010000110101100101110…
…0001100100000111111100
31110100010100221101202111200
42201223023201210013330
52424012142200013040
635343542212015500
72224454053554201
oct241531341440774
943303327352450
1011110200001020
1135a389a29281a
1212b5293601590
136278c21a8853
142a5a4513bca8
1514400610b630
hexa1acb8641fc

11110200001020 has 144 divisors (see below), whose sum is σ = 34806285626112. Its totient is φ = 2865646863360.

The previous prime is 11110200001013. The next prime is 11110200001039. The reversal of 11110200001020 is 2010000201111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11110200000993 and 11110200001011.

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, 10154134 + ... + 11194946.

It is an arithmetic number, because the mean of its divisors is an integer number (241710316848).

Almost surely, 211110200001020 is an apocalyptic number.

11110200001020 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 11110200001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17403142813056).

11110200001020 is an abundant number, since it is smaller than the sum of its proper divisors (23696085625092).

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

11110200001020 is a wasteful number, since it uses less digits than its factorization.

11110200001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042772 (or 1042767 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11110200001020 its reverse (2010000201111), we get a palindrome (13120200202131).

The spelling of 11110200001020 in words is "eleven trillion, one hundred ten billion, two hundred million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 1913 2790 3826 5580 5739 7652 9565 11478 17217 19130 22956 28695 34434 38260 57390 59303 68868 86085 114780 118606 172170 177909 237212 296515 344340 355818 533727 593030 711636 889545 1040813 1067454 1186060 1779090 2081626 2134908 2668635 3122439 3558180 4163252 5204065 5337270 6244878 9367317 10408130 10674540 12489756 15612195 18734634 20816260 31224390 32265203 37469268 46836585 62448780 64530406 93673170 96795609 129060812 161326015 187346340 193591218 290386827 322652030 387182436 483978045 580773654 645304060 967956090 1161547308 1451934135 1935912180 1991075269 2903868270 3982150538 5807736540 5973225807 7964301076 9955376345 11946451614 17919677421 19910752690 23892903228 29866129035 35839354842 39821505380 59732258070 61723333339 71678709684 89598387105 119464516140 123446666678 179196774210 185170000017 246893333356 308616666695 358393548420 370340000034 555510000051 617233333390 740680000068 925850000085 1111020000102 1234466666780 1851700000170 2222040000204 2777550000255 3703400000340 5555100000510 11110200001020