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20322030201012 = 223217101367789413
BaseRepresentation
bin1001001111011100101110…
…11001000010100010110100
32122221202201020002200212200
410213232113121002202310
510130424004212413022
6111115451202544500
74165134565406451
oct447562731024264
978852636080780
1020322030201012
116525585288431
122342666968130
13b454892a9c37
1450383d162828
1525395163bbac
hex127b976428b4

20322030201012 has 144 divisors (see below), whose sum is σ = 54945397280592. Its totient is φ = 6310627430400.

The previous prime is 20322030201001. The next prime is 20322030201079. The reversal of 20322030201012 is 21010203022302.

20322030201012 is a `hidden beast` number, since 20 + 322 + 0 + 302 + 0 + 10 + 12 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5971601266596 + 14350428934416 = 2443686^2 + 3788196^2 .

It is a super-2 number, since 2×203220302010122 (a number of 27 digits) contains 22 as substring.

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

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, 227238018 + ... + 227327430.

It is an arithmetic number, because the mean of its divisors is an integer number (381565258893).

Almost surely, 220322030201012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20322030201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27472698640296).

20322030201012 is an abundant number, since it is smaller than the sum of its proper divisors (34623367079580).

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

20322030201012 is a wasteful number, since it uses less digits than its factorization.

20322030201012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93218 (or 93213 counting only the distinct ones).

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

Adding to 20322030201012 its reverse (21010203022302), we get a palindrome (41332233223314).

The spelling of 20322030201012 in words is "twenty trillion, three hundred twenty-two billion, thirty million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 101 102 153 202 204 303 306 404 606 612 909 1212 1717 1818 3434 3636 3677 5151 6868 7354 10302 11031 14708 15453 20604 22062 30906 33093 44124 61812 62509 66186 89413 125018 132372 178826 187527 250036 268239 357652 371377 375054 536478 562581 742754 750108 804717 1072956 1114131 1125162 1485508 1520021 1609434 2228262 2250324 3040042 3218868 3342393 4456524 4560063 6080084 6313409 6684786 9030713 9120126 12626818 13369572 13680189 18061426 18240252 18940227 25253636 27092139 27360378 36122852 37880454 54184278 54720756 56820681 75760908 81276417 108368556 113641362 153522121 162552834 227282724 307044242 325105668 328771601 460566363 614088484 657543202 921132726 986314803 1315086404 1381699089 1842265452 1972629606 2763398178 2958944409 3945259212 5526796356 5589117217 5917888818 11178234434 11835777636 16767351651 22356468868 33205931701 33534703302 50302054953 66411863402 67069406604 99617795103 100604109906 132823726804 199235590206 201208219812 298853385309 398471180412 564500838917 597706770618 1129001677834 1195413541236 1693502516751 2258003355668 3387005033502 5080507550253 6774010067004 10161015100506 20322030201012