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20212200123030 = 23258311532346733
BaseRepresentation
bin1001001100010000001010…
…00000100010101010010110
32122120021012222102122200200
410212020011000202222112
510122124041212414110
6110553205003121330
74154166106221456
oct446100500425226
978507188378620
1020212200123030
116492a45047243
122325314b13246
13b38005065a06
144dc3c0771d66
15250b7440b6c0
hex126205022a96

20212200123030 has 96 divisors (see below), whose sum is σ = 53231023643616. Its totient is φ = 5320360599552.

The previous prime is 20212200123013. The next prime is 20212200123047. The reversal of 20212200123030 is 3032100221202.

20212200123030 is a `hidden beast` number, since 20 + 212 + 200 + 1 + 230 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20212200123013) and next prime (20212200123047).

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 = 20212200122994 and 20212200123012.

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, 7439544 + ... + 9786276.

It is an arithmetic number, because the mean of its divisors is an integer number (554489829621).

Almost surely, 220212200123030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20212200123030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26615511821808).

20212200123030 is an abundant number, since it is smaller than the sum of its proper divisors (33018823520586).

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

20212200123030 is a wasteful number, since it uses less digits than its factorization.

20212200123030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347982 (or 2347979 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20212200123030 its reverse (3032100221202), we get a palindrome (23244300344232).

The spelling of 20212200123030 in words is "twenty trillion, two hundred twelve billion, two hundred million, one hundred twenty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 83 90 166 249 415 498 747 830 1153 1245 1494 2306 2490 3459 3735 5765 6918 7470 10377 11530 17295 20754 34590 51885 95699 103770 191398 287097 478495 574194 861291 956990 1435485 1722582 2346733 2870970 4306455 4693466 7040199 8612910 11733665 14080398 21120597 23467330 35200995 42241194 70401990 105602985 194778839 211205970 389557678 584336517 973894195 1168673034 1753009551 1947788390 2705783149 2921682585 3506019102 5411566298 5843365170 8117349447 8765047755 13528915745 16234698894 17530095510 24352048341 27057831490 40586747235 48704096682 81173494470 121760241705 224580001367 243520483410 449160002734 673740004101 1122900006835 1347480008202 2021220012303 2245800013670 3368700020505 4042440024606 6737400041010 10106100061515 20212200123030