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210002001010020 = 22345146437885233
BaseRepresentation
bin101111101111111011100110…
…101011000001110101100100
31000112112222212112010011010000
4233233323212223001311210
5210011133044224310040
62022345330515101300
762143100232201432
oct5757734653016544
91015488775104100
10210002001010020
1160a0539191385a
121b6779652a1830
139024146b563ab
1439c02187d1d52
1519429799e4130
hexbefee6ac1d64

210002001010020 has 120 divisors (see below), whose sum is σ = 658789297972344. Its totient is φ = 56000087921664.

The previous prime is 210002001010003. The next prime is 210002001010121. The reversal of 210002001010020 is 20010100200012.

It can be written as a sum of positive squares in 4 ways, for example, as 5155833257316 + 204846167752704 = 2270646^2 + 14312448^2 .

It is a super-2 number, since 2×2100020010100202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 210002001009984 and 210002001010011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 236785324 + ... + 237670556.

Almost surely, 2210002001010020 is an apocalyptic number.

210002001010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210002001010020 is an abundant number, since it is smaller than the sum of its proper divisors (448787296962324).

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

210002001010020 is a wasteful number, since it uses less digits than its factorization.

210002001010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031691 (or 1031680 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 210002001010020 its reverse (20010100200012), we get a palindrome (230012101210032).

The spelling of 210002001010020 in words is "two hundred ten trillion, two billion, one million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 146437 292874 439311 585748 732185 878622 885233 1317933 1464370 1757244 1770466 2196555 2635866 2655699 2928740 3540932 3953799 4393110 4426165 5271732 5311398 6589665 7907598 7967097 8786220 8852330 10622796 11861397 13179330 13278495 15815196 15934194 17704660 19768995 23722794 23901291 26358660 26556990 31868388 39537990 39835485 47445588 47802582 53113980 59306985 71703873 79075980 79670970 95605164 118613970 119506455 143407746 159341940 237227940 239012910 286815492 358519365 478025820 717038730 1434077460 129630864821 259261729642 388892594463 518523459284 648154324105 777785188926 1166677783389 1296308648210 1555570377852 1944462972315 2333355566778 2592617296420 3500033350167 3888925944630 4666711133556 5833388916945 7000066700334 7777851889260 10500100050501 11666777833890 14000133400668 17500166750835 21000200101002 23333555667780 35000333501670 42000400202004 52500500252505 70000667003340 105001000505010 210002001010020