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211020031332 = 22341189665267
BaseRepresentation
bin1100010010000111000…
…1100010010101100100
3202011200100102021120000
43010201301202111210
511424132112000312
6240535151341300
721150162446145
oct3044161422544
9664610367500
10211020031332
1181547340910
1234a92221830
1316b8c43b286
14a2db8c7acc
155750b6dadc
hex3121c62564

211020031332 has 120 divisors (see below), whose sum is σ = 608560555680. Its totient is φ = 63226880640.

The previous prime is 211020031267. The next prime is 211020031349. The reversal of 211020031332 is 233130020112.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15438 + ... + 649829.

It is an arithmetic number, because the mean of its divisors is an integer number (5071337964).

Almost surely, 2211020031332 is an apocalyptic number.

211020031332 is a gapful number since it is divisible by the number (22) 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 211020031332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304280277840).

211020031332 is an abundant number, since it is smaller than the sum of its proper divisors (397540524348).

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

211020031332 is a wasteful number, since it uses less digits than its factorization.

211020031332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665383 (or 665372 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 211020031332 its reverse (233130020112), we get a palindrome (444150051444).

The spelling of 211020031332 in words is "two hundred eleven billion, twenty million, thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 89 99 108 132 162 178 198 267 297 324 356 396 534 594 801 891 979 1068 1188 1602 1782 1958 2403 2937 3204 3564 3916 4806 5874 7209 8811 9612 11748 14418 17622 26433 28836 35244 52866 79299 105732 158598 317196 665267 1330534 1995801 2661068 3991602 5987403 7317937 7983204 11974806 14635874 17962209 21953811 23949612 29271748 35924418 43907622 53886627 59208763 65861433 71848836 87815244 107773254 118417526 131722866 177626289 197584299 215546508 236835052 263445732 355252578 395168598 532878867 592752897 651296393 710505156 790337196 1065757734 1185505794 1302592786 1598636601 1953889179 2131515468 2371011588 2605185572 3197273202 3907778358 4795909803 5861667537 6394546404 7815556716 9591819606 11723335074 17585002611 19183639212 23446670148 35170005222 52755007833 70340010444 105510015666 211020031332