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10021220220 = 22351189170603
BaseRepresentation
bin10010101010100111…
…11010111101111100
3221212101200201210110
421111103322331330
5131010413021340
64334221310020
7503222652324
oct112523727574
927771621713
1010021220220
114282799090
121b38105310
13c3920a10b
146b0cc8284
153d9ba0680
hex2554faf7c

10021220220 has 96 divisors (see below), whose sum is σ = 30954389760. Its totient is φ = 2402076160.

The previous prime is 10021220207. The next prime is 10021220227. The reversal of 10021220220 is 2202212001.

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 = 10021220196 and 10021220205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021220227) 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, 26562 + ... + 144041.

It is an arithmetic number, because the mean of its divisors is an integer number (322441560).

Almost surely, 210021220220 is an apocalyptic number.

10021220220 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 10021220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15477194880).

10021220220 is an abundant number, since it is smaller than the sum of its proper divisors (20933169540).

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

10021220220 is a wasteful number, since it uses less digits than its factorization.

10021220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170715 (or 170713 counting only the distinct ones).

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

Adding to 10021220220 its reverse (2202212001), we get a palindrome (12223432221).

The spelling of 10021220220 in words is "ten billion, twenty-one million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 89 110 132 165 178 220 267 330 356 445 534 660 890 979 1068 1335 1780 1958 2670 2937 3916 4895 5340 5874 9790 11748 14685 19580 29370 58740 170603 341206 511809 682412 853015 1023618 1706030 1876633 2047236 2559045 3412060 3753266 5118090 5629899 7506532 9383165 10236180 11259798 15183667 18766330 22519596 28149495 30367334 37532660 45551001 56298990 60734668 75918335 91102002 112597980 151836670 167020337 182204004 227755005 303673340 334040674 455510010 501061011 668081348 835101685 911020020 1002122022 1670203370 2004244044 2505305055 3340406740 5010610110 10021220220