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210022021021220 = 2251711316901323441
BaseRepresentation
bin101111110000001110001111…
…111101010011111000100100
31000112121220112202022002120022
4233300032033331103320210
5210012000044340134340
62022402441241254312
762144406316402142
oct5760161775237044
91015556482262508
10210022021021220
1160a12925670561
121b67b811a94398
139025cb7719575
1439c1197606592
15194324c3b43b5
hexbf038ff53e24

210022021021220 has 96 divisors (see below), whose sum is σ = 471152129093856. Its totient is φ = 78362525696000.

The previous prime is 210022021021217. The next prime is 210022021021223. The reversal of 210022021021220 is 22120120220012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (210022021021217) and next prime (210022021021223).

It can be written as a sum of positive squares in 16 ways, for example, as 26206290547264 + 183815730473956 = 5119208^2 + 13557866^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (210022021021223) 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, 649174700 + ... + 649498140.

It is an arithmetic number, because the mean of its divisors is an integer number (4907834678061).

Almost surely, 2210022021021220 is an apocalyptic number.

210022021021220 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 210022021021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235576064546928).

210022021021220 is an abundant number, since it is smaller than the sum of its proper divisors (261130108072636).

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

210022021021220 is a wasteful number, since it uses less digits than its factorization.

210022021021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340481 (or 340479 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 210022021021220 its reverse (22120120220012), we get a palindrome (232142141241232).

The spelling of 210022021021220 in words is "two hundred ten trillion, twenty-two billion, twenty-one million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 113 170 226 340 452 565 1130 1921 2260 3842 7684 9605 16901 19210 33802 38420 67604 84505 169010 287317 323441 338020 574634 646882 1149268 1293764 1436585 1617205 1909813 2873170 3234410 3819626 5498497 5746340 6468820 7639252 9549065 10996994 19098130 21993988 27492485 32466821 36548833 38196260 54984970 64933642 73097666 109969940 129867284 146195332 162334105 182744165 324668210 365488330 621330161 649336420 730976660 1242660322 2485320644 3106650805 5466476341 6213301610 10932952682 12426603220 21865905364 27332381705 54664763410 92930097797 109329526820 185860195594 371720391188 464650488985 617711826533 929300977970 1235423653066 1858601955940 2470847306132 3088559132665 6177118265330 10501101051061 12354236530660 21002202102122 42004404204244 52505505255305 105011010510610 210022021021220