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220002101000 = 23531129276833
BaseRepresentation
bin1100110011100100100…
…1011010011100001000
3210000212022202200202222
43030321021122130020
512101031014213000
6245022332313212
721615600001163
oct3147111323410
9700768680688
10220002101000
11853364a5790
123677a312808
13179912811b6
14a910792ada
155ac94a7a85
hex333925a708

220002101000 has 128 divisors (see below), whose sum is σ = 561879452160. Its totient is φ = 79961728000.

The previous prime is 220002100999. The next prime is 220002101017. The reversal of 220002101000 is 101200022.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32193584 + ... + 32200416.

It is an arithmetic number, because the mean of its divisors is an integer number (4389683220).

Almost surely, 2220002101000 is an apocalyptic number.

220002101000 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 220002101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280939726080).

220002101000 is an abundant number, since it is smaller than the sum of its proper divisors (341877351160).

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

220002101000 is a wasteful number, since it uses less digits than its factorization.

220002101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9792 (or 9778 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 220002101000 its reverse (101200022), we get a palindrome (220103301022).

The spelling of 220002101000 in words is "two hundred twenty billion, two million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 2927 5500 5854 6833 11000 11708 13666 14635 23416 27332 29270 32197 34165 54664 58540 64394 68330 73175 75163 117080 128788 136660 146350 150326 160985 170825 257576 273320 292700 300652 321970 341650 365875 375815 585400 601304 643940 683300 731750 751630 804925 854125 1287880 1366600 1463500 1503260 1609850 1708250 1879075 2927000 3006520 3219700 3416500 3758150 4024625 6439400 6833000 7516300 8049250 9395375 15032600 16098500 18790750 20000191 32197000 37581500 40000382 75163000 80000764 100000955 160001528 200001910 220002101 400003820 440004202 500004775 800007640 880008404 1000009550 1100010505 1760016808 2000019100 2200021010 2500023875 4000038200 4400042020 5000047750 5500052525 8800084040 10000095500 11000105050 20000191000 22000210100 27500262625 44000420200 55000525250 110001050500 220002101000