Search a number
-
+
210022000001220 = 223511743534279789
BaseRepresentation
bin101111110000001110001110…
…101101001000000011000100
31000112121220111021202011112210
4233300032032231020003010
5210012000024000014340
62022402435210543420
762144405642624301
oct5760161655100304
91015556437664483
10210022000001220
1160a12914813960
121b67b806a37b70
139025cb3269ab4
1439c11948d40a8
15194324a611180
hexbf038eb480c4

210022000001220 has 96 divisors (see below), whose sum is σ = 641530523410560. Its totient is φ = 50913727580160.

The previous prime is 210022000001207. The next prime is 210022000001221. The reversal of 210022000001220 is 22100000220012.

It is a super-3 number, since 3×2100220000012203 (a number of 44 digits) contains 333 as substring.

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 = 210022000001196 and 210022000001205.

It is not an unprimeable number, because it can be changed into a prime (210022000001221) 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, 46933086 + ... + 51212874.

It is an arithmetic number, because the mean of its divisors is an integer number (6682609618860).

Almost surely, 2210022000001220 is an apocalyptic number.

210022000001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210022000001220 is an abundant number, since it is smaller than the sum of its proper divisors (431508523409340).

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

210022000001220 is a wasteful number, since it uses less digits than its factorization.

210022000001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4354165 (or 4354163 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 210022000001220 its reverse (22100000220012), we get a palindrome (232122000221232).

The spelling of 210022000001220 in words is "two hundred ten trillion, twenty-two billion, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 74353 148706 223059 297412 371765 446118 743530 817883 892236 1115295 1487060 1635766 2230590 2453649 3271532 4089415 4279789 4461180 4907298 8178830 8559578 9814596 12268245 12839367 16357660 17119156 21398945 24536490 25678734 42797890 47077679 49072980 51357468 64196835 85595780 94155358 128393670 141233037 188310716 235388395 256787340 282466074 470776790 564932148 706165185 941553580 1412330370 2824660740 318215151517 636430303034 954645454551 1272860606068 1591075757585 1909290909102 3182151515170 3500366666687 3818581818204 4773227272755 6364303030340 7000733333374 9546454545510 10501100000061 14001466666748 17501833333435 19092909091020 21002200000122 35003666666870 42004400000244 52505500000305 70007333333740 105011000000610 210022000001220