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20103233100 = 223521918771879
BaseRepresentation
bin10010101110001111…
…101111111001001100
31220220000210001102220
4102232033233321030
5312132411424400
613122454015340
71311114443016
oct225617577114
956800701386
1020103233100
118586829635
123a90647550
131b84bb0c02
14d89cb91b6
157c9d5d7a0
hex4ae3efe4c

20103233100 has 144 divisors (see below), whose sum is σ = 61291910400. Its totient is φ = 5073304320.

The previous prime is 20103233089. The next prime is 20103233113. The reversal of 20103233100 is 133230102.

It is a super-2 number, since 2×201032331002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20103233100.

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, 10697961 + ... + 10699839.

Almost surely, 220103233100 is an apocalyptic number.

20103233100 is a gapful number since it is divisible by the number (20) 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 20103233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30645955200).

20103233100 is an abundant number, since it is smaller than the sum of its proper divisors (41188677300).

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

20103233100 is a wasteful number, since it uses less digits than its factorization.

20103233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3792 (or 3785 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 20103233100 its reverse (133230102), we get a palindrome (20236463202).

The spelling of 20103233100 in words is "twenty billion, one hundred three million, two hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1877 1879 1900 2850 3754 3758 5631 5637 5700 7508 7516 9385 9395 11262 11274 18770 18790 22524 22548 28155 28185 35663 35701 37540 37580 46925 46975 56310 56370 71326 71402 93850 93950 106989 107103 112620 112740 140775 140925 142652 142804 178315 178505 187700 187900 213978 214206 281550 281850 356630 357010 427956 428412 534945 535515 563100 563700 713260 714020 891575 892525 1069890 1071030 1783150 1785050 2139780 2142060 2674725 2677575 3526883 3566300 3570100 5349450 5355150 7053766 10580649 10698900 10710300 14107532 17634415 21161298 35268830 42322596 52903245 67010777 70537660 88172075 105806490 134021554 176344150 201032331 211612980 264516225 268043108 335053885 352688300 402064662 529032450 670107770 804129324 1005161655 1058064900 1340215540 1675269425 2010323310 3350538850 4020646620 5025808275 6701077700 10051616550 20103233100