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20123330220 = 22325718188237
BaseRepresentation
bin10010101111011100…
…011010011010101100
31220221102121002111200
4102233130122122230
5312203033031340
613124452445500
71311450325140
oct225734323254
956842532450
1020123330220
118597105924
123a97319890
131b890c95b6
14d8c82b220
157cb9cd330
hex4af71a6ac

20123330220 has 144 divisors (see below), whose sum is σ = 70147092288. Its totient is φ = 4574154240.

The previous prime is 20123330203. The next prime is 20123330237. The reversal of 20123330220 is 2203332102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20123330203) and next prime (20123330237).

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

It is a junction number, because it is equal to n+sod(n) for n = 20123330193 and 20123330202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183942 + ... + 272178.

Almost surely, 220123330220 is an apocalyptic number.

20123330220 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 20123330220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35073546144).

20123330220 is an abundant number, since it is smaller than the sum of its proper divisors (50023762068).

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

20123330220 is a wasteful number, since it uses less digits than its factorization.

20123330220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88440 (or 88435 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20123330220 its reverse (2203332102), we get a palindrome (22326662322).

The spelling of 20123330220 in words is "twenty billion, one hundred twenty-three million, three hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 181 210 252 315 362 420 543 630 724 905 1086 1260 1267 1629 1810 2172 2534 2715 3258 3620 3801 5068 5430 6335 6516 7602 8145 10860 11403 12670 15204 16290 19005 22806 25340 32580 38010 45612 57015 76020 88237 114030 176474 228060 264711 352948 441185 529422 617659 794133 882370 1058844 1235318 1323555 1588266 1764740 1852977 2470636 2647110 3088295 3176532 3705954 3970665 5294220 5558931 6176590 7411908 7941330 9264885 11117862 12353180 15882660 15970897 18529770 22235724 27794655 31941794 37059540 47912691 55589310 63883588 79854485 95825382 111178620 111796279 143738073 159708970 191650764 223592558 239563455 287476146 319417940 335388837 447185116 479126910 558981395 574952292 670777674 718690365 958253820 1006166511 1117962790 1341555348 1437380730 1676944185 2012333022 2235925580 2874761460 3353888370 4024666044 5030832555 6707776740 10061665110 20123330220