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10122010220 = 22571910213727
BaseRepresentation
bin10010110110101000…
…11001111001101100
3222010102100101200102
421123110121321230
5131212213311340
64352221450232
7505555444610
oct113324317154
928112311612
1010122010220
11432467a103
121b65a10978
13c5406937a
146c0443340
153e395e215
hex25b519e6c

10122010220 has 96 divisors (see below), whose sum is σ = 25603307520. Its totient is φ = 3283649280.

The previous prime is 10122010219. The next prime is 10122010231. The reversal of 10122010220 is 2201022101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2713997 + ... + 2717723.

It is an arithmetic number, because the mean of its divisors is an integer number (266701120).

Almost surely, 210122010220 is an apocalyptic number.

10122010220 is a gapful number since it is divisible by the number (10) 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 10122010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12801653760).

10122010220 is an abundant number, since it is smaller than the sum of its proper divisors (15481297300).

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

10122010220 is a wasteful number, since it uses less digits than its factorization.

10122010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4783 (or 4781 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10122010220 its reverse (2201022101), we get a palindrome (12323032321).

The spelling of 10122010220 in words is "ten billion, one hundred twenty-two million, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1021 1330 2042 2660 3727 4084 5105 7147 7454 10210 14294 14908 18635 19399 20420 26089 28588 35735 37270 38798 52178 70813 71470 74540 77596 96995 104356 130445 135793 141626 142940 193990 260890 271586 283252 354065 387980 495691 521780 543172 678965 708130 991382 1357930 1416260 1982764 2478455 2715860 3805267 4956910 7610534 9913820 15221068 19026335 26636869 38052670 53273738 72300073 76105340 106547476 133184345 144600146 266368690 289200292 361500365 506100511 532737380 723000730 1012201022 1446001460 2024402044 2530502555 5061005110 10122010220