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21020020001112 = 233111011621486323
BaseRepresentation
bin1001100011110000110101…
…10100110100100101011000
32202102111100100001100202110
410301320122310310211120
510223343000110013422
6112412244110432320
74266434456000046
oct461703264644530
982374310040673
1021020020001112
1167745a43330a0
1224359a22026a0
13b9624413ac82
145295354b5396
15266ba3eb960c
hex131e1ad34958

21020020001112 has 128 divisors (see below), whose sum is σ = 57930759256320. Its totient is φ = 6302733120000.

The previous prime is 21020020001053. The next prime is 21020020001117. The reversal of 21020020001112 is 21110002002012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21020020001117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42979183 + ... + 43465505.

It is an arithmetic number, because the mean of its divisors is an integer number (452584056690).

Almost surely, 221020020001112 is an apocalyptic number.

21020020001112 is a gapful number since it is divisible by the number (22) 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 21020020001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28965379628160).

21020020001112 is an abundant number, since it is smaller than the sum of its proper divisors (36910739255208).

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

21020020001112 is a wasteful number, since it uses less digits than its factorization.

21020020001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488065 (or 488061 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21020020001112 its reverse (21110002002012), we get a palindrome (42130022003124).

Subtracting 21020020001112 from its reverse (21110002002012), we obtain a square (89982000900 = 2999702).

The spelling of 21020020001112 in words is "twenty-one trillion, twenty billion, twenty million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 132 202 264 303 404 606 808 1111 1212 1621 2222 2424 3242 3333 4444 4863 6484 6666 8888 9726 12968 13332 17831 19452 26664 35662 38904 53493 71324 106986 142648 163721 213972 327442 427944 486323 491163 654884 972646 982326 1309768 1458969 1800931 1945292 1964652 2917938 3601862 3890584 3929304 5349553 5402793 5835876 7203724 10699106 10805586 11671752 14407448 16048659 21398212 21611172 32097318 42796424 43222344 49118623 64194636 98237246 128389272 147355869 196474492 294711738 392948984 540304853 589423476 788329583 1080609706 1178846952 1576659166 1620914559 2161219412 2364988749 3153318332 3241829118 4322438824 4729977498 6306636664 6483658236 8671625413 9459954996 12967316472 17343250826 18919909992 26014876239 34686501652 52029752478 69373003304 79621287883 104059504956 159242575766 208119009912 238863863649 318485151532 477727727298 636970303064 875834166713 955455454596 1751668333426 1910910909192 2627502500139 3503336666852 5255005000278 7006673333704 10510010000556 21020020001112