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210320200020 = 223572160144683
BaseRepresentation
bin1100001111100000001…
…1111001000101010100
3202002212120120011110210
43003320003321011110
511421213432400040
6240341511445420
721123634126500
oct3037003710524
9662776504423
10210320200020
11812182a7227
1234917986870
1316aaa45a8c8
14a272995300
15570e4d1480
hex30f80f9154

210320200020 has 144 divisors (see below), whose sum is σ = 685486162368. Its totient is φ = 48042086400.

The previous prime is 210320200019. The next prime is 210320200037. The reversal of 210320200020 is 20002023012.

210320200020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 210320199969 and 210320200005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4684599 + ... + 4729281.

It is an arithmetic number, because the mean of its divisors is an integer number (4760320572).

Almost surely, 2210320200020 is an apocalyptic number.

210320200020 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 210320200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342743081184).

210320200020 is an abundant number, since it is smaller than the sum of its proper divisors (475165962348).

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

210320200020 is a wasteful number, since it uses less digits than its factorization.

210320200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46310 (or 46301 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 210320200020 its reverse (20002023012), we get a palindrome (230322223032).

The spelling of 210320200020 in words is "two hundred ten billion, three hundred twenty million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 1601 2940 3202 4803 6404 8005 9606 11207 16010 19212 22414 24015 32020 33621 44683 44828 48030 56035 67242 78449 89366 96060 112070 134049 134484 156898 168105 178732 223415 224140 235347 268098 312781 313796 336210 392245 446830 470694 536196 625562 670245 672420 784490 893660 938343 941388 1176735 1251124 1340490 1563905 1568980 1876686 2189467 2353470 2680980 3127810 3753372 4378934 4691715 4706940 6255620 6568401 8757868 9383430 10947335 13136802 18766860 21894670 26273604 32842005 43789340 65684010 71537483 131368020 143074966 214612449 286149932 357687415 429224898 500762381 715374830 858449796 1001524762 1073062245 1430749660 1502287143 2003049524 2146124490 2503811905 3004574286 3505336667 4292248980 5007623810 6009148572 7010673334 7511435715 10015247620 10516010001 14021346668 15022871430 17526683335 21032020002 30045742860 35053366670 42064040004 52580050005 70106733340 105160100010 210320200020