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20120010220 = 22537672631543
BaseRepresentation
bin10010101111001111…
…101111110111101100
31220221012100102022201
4102233033233313230
5312201210311340
613124253351244
71311410156632
oct225717576754
956835312281
1020120010220
118595248522
123a96198524
131b885063bb
14d8c205352
157cb57479a
hex4af3efdec

20120010220 has 96 divisors (see below), whose sum is σ = 44237749248. Its totient is φ = 7679308032.

The previous prime is 20120010217. The next prime is 20120010227. The reversal of 20120010220 is 2201002102.

It is a super-2 number, since 2×201200102202 (a number of 21 digits) contains 22 as substring.

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 = 20120010197 and 20120010206.

It is not an unprimeable number, because it can be changed into a prime (20120010227) 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, 13038769 + ... + 13040311.

It is an arithmetic number, because the mean of its divisors is an integer number (460809888).

Almost surely, 220120010220 is an apocalyptic number.

20120010220 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 20120010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22118874624).

20120010220 is an abundant number, since it is smaller than the sum of its proper divisors (24117739028).

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

20120010220 is a wasteful number, since it uses less digits than its factorization.

20120010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1919 (or 1917 counting only the distinct ones).

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

Adding to 20120010220 its reverse (2201002102), we get a palindrome (22321012322).

The spelling of 20120010220 in words is "twenty billion, one hundred twenty million, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 67 74 134 148 185 263 268 335 370 526 670 740 1052 1315 1340 1543 2479 2630 3086 4958 5260 6172 7715 9731 9916 12395 15430 17621 19462 24790 30860 35242 38924 48655 49580 57091 70484 88105 97310 103381 114182 176210 194620 206762 228364 285455 352420 405809 413524 516905 570910 651977 811618 1033810 1141820 1303954 1623236 2029045 2067620 2607908 3259885 3825097 4058090 6519770 7650194 8116180 13039540 15014933 15300388 19125485 27189203 30029866 38250970 54378406 60059732 75074665 76501940 108756812 135946015 150149330 271892030 300298660 543784060 1006000511 2012001022 4024002044 5030002555 10060005110 20120010220