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200212201020 = 2235132101195493
BaseRepresentation
bin1011101001110110010…
…0111011111000111100
3201010210010120121120110
42322131210323320330
511240013310413040
6231550510150020
720315305425606
oct2723544737074
9633703517513
10200212201020
1177a00627a47
12329767b2310
1315b59288b00
14999435c176
15531bddd980
hex2e9d93be3c

200212201020 has 144 divisors (see below), whose sum is σ = 613047288672. Its totient is φ = 48794803200.

The previous prime is 200212200989. The next prime is 200212201067. The reversal of 200212201020 is 20102212002.

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 = 200212200987 and 200212201005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 926394 + ... + 1121886.

It is an arithmetic number, because the mean of its divisors is an integer number (4257272838).

Almost surely, 2200212201020 is an apocalyptic number.

200212201020 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 200212201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306523644336).

200212201020 is an abundant number, since it is smaller than the sum of its proper divisors (412835087652).

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

200212201020 is a wasteful number, since it uses less digits than its factorization.

200212201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195632 (or 195617 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 200212201020 its reverse (20102212002), we get a palindrome (220314413022).

The spelling of 200212201020 in words is "two hundred billion, two hundred twelve million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 101 130 156 169 195 202 260 303 338 390 404 505 507 606 676 780 845 1010 1014 1212 1313 1515 1690 2020 2028 2535 2626 3030 3380 3939 5070 5252 6060 6565 7878 10140 13130 15756 17069 19695 26260 34138 39390 51207 68276 78780 85345 102414 170690 195493 204828 256035 341380 390986 512070 586479 781972 977465 1024140 1172958 1954930 2345916 2541409 2932395 3909860 5082818 5864790 7624227 10165636 11729580 12707045 15248454 19744793 25414090 30496908 33038317 38121135 39489586 50828180 59234379 66076634 76242270 78979172 98723965 99114951 118468758 132153268 152484540 165191585 197447930 198229902 236937516 256682309 296171895 330383170 394895860 396459804 495574755 513364618 592343790 660766340 770046927 991149510 1026729236 1184687580 1283411545 1540093854 1982299020 2566823090 3080187708 3336870017 3850234635 5133646180 6673740034 7700469270 10010610051 13347480068 15400938540 16684350085 20021220102 33368700170 40042440204 50053050255 66737400340 100106100510 200212201020