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10201010220 = 22325211337797
BaseRepresentation
bin10011000000000011…
…10001000000101100
3222022221000000022100
421200001301000230
5131342424311340
64404123015100
7510535104402
oct114001610054
928287000270
1010201010220
114365227a65
121b8836a490
13c6753952b
146cab29472
153ea866830
hex26007102c

10201010220 has 144 divisors (see below), whose sum is σ = 31221092448. Its totient is φ = 2695956480.

The previous prime is 10201010219. The next prime is 10201010227. The reversal of 10201010220 is 2201010201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10201010227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12798862 + ... + 12799658.

It is an arithmetic number, because the mean of its divisors is an integer number (216813142).

Almost surely, 210201010220 is an apocalyptic number.

10201010220 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 10201010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15610546224).

10201010220 is an abundant number, since it is smaller than the sum of its proper divisors (21020082228).

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

10201010220 is a wasteful number, since it uses less digits than its factorization.

10201010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10201010220 its reverse (2201010201), we get a palindrome (12402020421).

The spelling of 10201010220 in words is "ten billion, two hundred one million, ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 211 337 422 633 674 797 844 1011 1055 1266 1348 1594 1685 1899 2022 2110 2391 2532 3033 3165 3188 3370 3798 3985 4044 4220 4782 5055 6066 6330 6740 7173 7596 7970 9495 9564 10110 11955 12132 12660 14346 15165 15940 18990 20220 23910 28692 30330 35865 37980 47820 60660 71107 71730 142214 143460 168167 213321 268589 284428 336334 355535 426642 504501 537178 639963 672668 711070 805767 840835 853284 1009002 1066605 1074356 1279926 1342945 1422140 1513503 1611534 1681670 2018004 2133210 2417301 2522505 2559852 2685890 3027006 3199815 3223068 3363340 4028835 4266420 4834602 5045010 5371780 6054012 6399630 7567515 8057670 9669204 10090020 12086505 12799260 15135030 16115340 24173010 30270060 48346020 56672279 113344558 170016837 226689116 283361395 340033674 510050511 566722790 680067348 850084185 1020101022 1133445580 1700168370 2040202044 2550252555 3400336740 5100505110 10201010220