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211010110020 = 22335574368041
BaseRepresentation
bin1100010010000100101…
…1101100001001000100
3202011122122202020002000
43010201023230021010
511424122042010040
6240534154545300
721150012225063
oct3044113541104
9664578666060
10211010110020
1181541784886
1234a8aa38230
1316b8a376488
14a2da4641da
15574ed5e130
hex31212ec244

211010110020 has 96 divisors (see below), whose sum is σ = 656599856640. Its totient is φ = 56258737920.

The previous prime is 211010109967. The next prime is 211010110027. The reversal of 211010110020 is 20011010112.

It is a happy number.

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 = 211010109984 and 211010110011.

It is not an unprimeable number, because it can be changed into a prime (211010110027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3067200 + ... + 3135240.

It is an arithmetic number, because the mean of its divisors is an integer number (6839581840).

Almost surely, 2211010110020 is an apocalyptic number.

211010110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211010110020 is an abundant number, since it is smaller than the sum of its proper divisors (445589746620).

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

211010110020 is a wasteful number, since it uses less digits than its factorization.

211010110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73802 (or 73794 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 211010110020 its reverse (20011010112), we get a palindrome (231021120132).

The spelling of 211010110020 in words is "two hundred eleven billion, ten million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 5743 11486 17229 22972 28715 34458 51687 57430 68041 68916 86145 103374 114860 136082 155061 172290 204123 206748 258435 272164 310122 340205 344580 408246 516870 612369 620244 680410 775305 816492 1020615 1033740 1224738 1360820 1550610 1837107 2041230 2449476 3061845 3101220 3674214 4082460 6123690 7348428 9185535 12247380 18371070 36742140 390759463 781518926 1172278389 1563037852 1953797315 2344556778 3516835167 3907594630 4689113556 5861391945 7033670334 7815189260 10550505501 11722783890 14067340668 17584175835 21101011002 23445567780 35168351670 42202022004 52752527505 70336703340 105505055010 211010110020