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10001022220 = 2257315214423
BaseRepresentation
bin10010101000001101…
…10111110100001100
3221210222200120100101
421110012313310030
5130440230202340
64332220340444
7502556200120
oct112406676414
927728616311
1010001022220
114272353022
121b313a4724
13c34c87837
146ac34b580
153d8010c9a
hex2541b7d0c

10001022220 has 96 divisors (see below), whose sum is σ = 24829894656. Its totient is φ = 3311193600.

The previous prime is 10001022203. The next prime is 10001022223. The reversal of 10001022220 is 2222010001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10001022197 and 10001022206.

It is not an unprimeable number, because it can be changed into a prime (10001022223) 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, 2258929 + ... + 2263351.

It is an arithmetic number, because the mean of its divisors is an integer number (258644736).

Almost surely, 210001022220 is an apocalyptic number.

10001022220 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 10001022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12414947328).

10001022220 is an abundant number, since it is smaller than the sum of its proper divisors (14828872436).

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

10001022220 is a wasteful number, since it uses less digits than its factorization.

10001022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4991 (or 4989 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10001022220 its reverse (2222010001), we get a palindrome (12223032221).

The spelling of 10001022220 in words is "ten billion, one million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 521 620 868 1042 1085 2084 2170 2605 3647 4340 4423 5210 7294 8846 10420 14588 16151 17692 18235 22115 30961 32302 36470 44230 61922 64604 72940 80755 88460 113057 123844 137113 154805 161510 226114 274226 309610 323020 452228 548452 565285 619220 685565 959791 1130570 1371130 1919582 2261140 2304383 2742260 3839164 4608766 4798955 9217532 9597910 11521915 16130681 19195820 23043830 32261362 46087660 64522724 71435873 80653405 142871746 161306810 285743492 322613620 357179365 500051111 714358730 1000102222 1428717460 2000204444 2500255555 5000511110 10001022220