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211100221020 = 2235131715920077
BaseRepresentation
bin1100010010011010001…
…1011011111001011100
3202011212221022100010110
43010212203123321130
511424313124033040
6240551134210020
721152155162263
oct3044643337134
9664787270113
10211100221020
1181588631587
1234ab5053910
1316ba2c36ab0
14a3083dd5da
155757c0d980
hex31268dbe5c

211100221020 has 96 divisors (see below), whose sum is σ = 673992422208. Its totient is φ = 48906473472.

The previous prime is 211100221009. The next prime is 211100221049. The reversal of 211100221020 is 20122001112.

211100221020 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 = 211100220987 and 211100221005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7946779 + ... + 7973298.

It is an arithmetic number, because the mean of its divisors is an integer number (7020754398).

Almost surely, 2211100221020 is an apocalyptic number.

211100221020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211100221020 is an abundant number, since it is smaller than the sum of its proper divisors (462892201188).

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

211100221020 is a wasteful number, since it uses less digits than its factorization.

211100221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15920119 (or 15920117 counting only the distinct ones).

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

Adding to 211100221020 its reverse (20122001112), we get a palindrome (231222222132).

The spelling of 211100221020 in words is "two hundred eleven billion, one hundred million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 170 195 204 221 255 260 340 390 442 510 663 780 884 1020 1105 1326 2210 2652 3315 4420 6630 13260 15920077 31840154 47760231 63680308 79600385 95520462 159200770 191040924 206961001 238801155 270641309 318401540 413922002 477602310 541282618 620883003 811923927 827844004 955204620 1034805005 1082565236 1241766006 1353206545 1623847854 2069610010 2483532012 2706413090 3104415015 3247695708 3518337017 4059619635 4139220020 5412826180 6208830030 7036674034 8119239270 10555011051 12417660060 14073348068 16238478540 17591685085 21110022102 35183370170 42220044204 52775055255 70366740340 105550110510 211100221020