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10001330220 = 2235724772379
BaseRepresentation
bin10010101000010000…
…00011000000101100
3221211000021012211210
421110020003000230
5130440320031340
64332231114420
7502561622100
oct112410030054
927730235753
1010001330220
114272543472
121b31512a10
13c35064a9b
146ac3cb900
153d8072180
hex25420302c

10001330220 has 144 divisors (see below), whose sum is σ = 33269322240. Its totient is φ = 2237348736.

The previous prime is 10001330201. The next prime is 10001330237. The reversal of 10001330220 is 2203310001.

It is a happy number.

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 = 10001330196 and 10001330205.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101991 + ... + 174369.

It is an arithmetic number, because the mean of its divisors is an integer number (231036960).

Almost surely, 210001330220 is an apocalyptic number.

10001330220 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 10001330220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16634661120).

10001330220 is an abundant number, since it is smaller than the sum of its proper divisors (23267992020).

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

10001330220 is a wasteful number, since it uses less digits than its factorization.

10001330220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72452 (or 72443 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10001330220 its reverse (2203310001), we get a palindrome (12204640221).

The spelling of 10001330220 in words is "ten billion, one million, three hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 47 49 60 70 84 94 98 105 140 141 147 188 196 210 235 245 282 294 329 420 470 490 564 588 658 705 735 940 980 987 1316 1410 1470 1645 1974 2303 2820 2940 3290 3948 4606 4935 6580 6909 9212 9870 11515 13818 19740 23030 27636 34545 46060 69090 72379 138180 144758 217137 289516 361895 434274 506653 723790 868548 1013306 1085685 1447580 1519959 2026612 2171370 2533265 3039918 3401813 3546571 4342740 5066530 6079836 6803626 7093142 7599795 10133060 10205439 10639713 13607252 14186284 15199590 17009065 17732855 20410878 21279426 23812691 30399180 34018130 35465710 40821756 42558852 47625382 51027195 53198565 68036260 70931420 71438073 95250764 102054390 106397130 119063455 142876146 166688837 204108780 212794260 238126910 285752292 333377674 357190365 476253820 500066511 666755348 714380730 833444185 1000133022 1428761460 1666888370 2000266044 2500332555 3333776740 5000665110 10001330220