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211100002020 = 223253738382759
BaseRepresentation
bin1100010010011010001…
…0100110011011100100
3202011212220220012201100
43010212202212123210
511424313100031040
6240551125400100
721152153260635
oct3044642463344
9664786805640
10211100002020
11815884a1a96
1234ab4b69030
1316ba2b8b1cb
14a30838388c
155757bb8b30
hex31268a66e4

211100002020 has 144 divisors (see below), whose sum is σ = 659368120320. Its totient is φ = 54628224768.

The previous prime is 211100002019. The next prime is 211100002021. The reversal of 211100002020 is 20200001112.

It is an interprime number because it is at equal distance from previous prime (211100002019) and next prime (211100002021).

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 = 211100001993 and 211100002011.

It is not an unprimeable number, because it can be changed into a prime (211100002021) by changing a digit.

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, 2509401 + ... + 2592159.

It is an arithmetic number, because the mean of its divisors is an integer number (4578945280).

Almost surely, 2211100002020 is an apocalyptic number.

211100002020 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 211100002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329684060160).

211100002020 is an abundant number, since it is smaller than the sum of its proper divisors (448268118300).

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

211100002020 is a wasteful number, since it uses less digits than its factorization.

211100002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83194 (or 83189 counting only the distinct ones).

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

Adding to 211100002020 its reverse (20200001112), we get a palindrome (231300003132).

The spelling of 211100002020 in words is "two hundred eleven billion, one hundred million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 383 444 555 666 740 766 1110 1149 1332 1532 1665 1915 2220 2298 3330 3447 3830 4596 5745 6660 6894 7660 11490 13788 14171 17235 22980 28342 34470 42513 56684 68940 70855 82759 85026 127539 141710 165518 170052 212565 248277 255078 283420 331036 413795 425130 496554 510156 637695 744831 827590 850260 993108 1241385 1275390 1489662 1655180 2482770 2550780 2979324 3062083 3724155 4965540 6124166 7448310 9186249 12248332 14896620 15310415 18372498 27558747 30620830 31696697 36744996 45931245 55117494 61241660 63393394 91862490 95090091 110234988 126786788 137793735 158483485 183724980 190180182 275587470 285270273 316966970 380360364 475450455 551174940 570540546 633933940 950900910 1141081092 1172777789 1426351365 1901801820 2345555578 2852702730 3518333367 4691111156 5705405460 5863888945 7036666734 10555000101 11727777890 14073333468 17591666835 21110000202 23455555780 35183333670 42220000404 52775000505 70366667340 105550001010 211100002020