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220210102020 = 223573239210361
BaseRepresentation
bin1100110100010110001…
…0110111111100000100
3210001101211011020112110
43031011202313330010
512101442241231040
6245055122421020
721624003661146
oct3150542677404
9701354136473
10220210102020
1185432952a57
1236817b01770
13179c53aa21c
14a930258c96
155adc892980
hex33458b7f04

220210102020 has 96 divisors (see below), whose sum is σ = 627652892160. Its totient is φ = 57675663360.

The previous prime is 220210101971. The next prime is 220210102039. The reversal of 220210102020 is 20201012022.

220210102020 is digitally balanced in base 2, 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 = 220210101987 and 220210102005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 941640 + ... + 1152000.

It is an arithmetic number, because the mean of its divisors is an integer number (6538050960).

Almost surely, 2220210102020 is an apocalyptic number.

220210102020 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 220210102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313826446080).

220210102020 is an abundant number, since it is smaller than the sum of its proper divisors (407442790140).

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

220210102020 is a wasteful number, since it uses less digits than its factorization.

220210102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210685 (or 210683 counting only the distinct ones).

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

Adding to 220210102020 its reverse (20201012022), we get a palindrome (240411114042).

The spelling of 220210102020 in words is "two hundred twenty billion, two hundred ten million, one hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 239 292 365 438 478 717 730 876 956 1095 1195 1434 1460 2190 2390 2868 3585 4380 4780 7170 14340 17447 34894 52341 69788 87235 104682 174470 209364 210361 261705 348940 420722 523410 631083 841444 1046820 1051805 1262166 2103610 2524332 3155415 4207220 6310830 12621660 15356353 30712706 46069059 50276279 61425412 76781765 92138118 100552558 150828837 153563530 184276236 201105116 230345295 251381395 301657674 307127060 460690590 502762790 603315348 754144185 921381180 1005525580 1508288370 3016576740 3670168367 7340336734 11010505101 14680673468 18350841835 22021010202 36701683670 44042020404 55052525505 73403367340 110105051010 220210102020