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20111101020 = 223251393592239
BaseRepresentation
bin10010101110101101…
…110000110001011100
31220220120120210012100
4102232231300301130
5312141420213040
613123334405100
71311241352403
oct225655606134
956816523170
1020111101020
11859021294a
123a93200790
131b8670719a
14d8ad6663a
157ca8b4b30
hex4aeb70c5c

20111101020 has 144 divisors (see below), whose sum is σ = 61641216000. Its totient is φ = 5307175296.

The previous prime is 20111101009. The next prime is 20111101051. The reversal of 20111101020 is 2010111102.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 20111100993 and 20111101011.

It is a congruent number.

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, 8981061 + ... + 8983299.

It is an arithmetic number, because the mean of its divisors is an integer number (428064000).

Almost surely, 220111101020 is an apocalyptic number.

20111101020 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 20111101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30820608000).

20111101020 is an abundant number, since it is smaller than the sum of its proper divisors (41530114980).

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

20111101020 is a wasteful number, since it uses less digits than its factorization.

20111101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2752 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20111101020 its reverse (2010111102), we get a palindrome (22121212122).

The spelling of 20111101020 in words is "twenty billion, one hundred eleven million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 139 180 278 359 417 556 695 718 834 1077 1251 1390 1436 1668 1795 2085 2154 2239 2502 2780 3231 3590 4170 4308 4478 5004 5385 6255 6462 6717 7180 8340 8956 10770 11195 12510 12924 13434 16155 20151 21540 22390 25020 26868 32310 33585 40302 44780 49901 64620 67170 80604 99802 100755 134340 149703 199604 201510 249505 299406 311221 403020 449109 499010 598812 622442 748515 803801 898218 933663 998020 1244884 1497030 1556105 1607602 1796436 1867326 2245545 2411403 2800989 2994060 3112210 3215204 3734652 4019005 4491090 4668315 4822806 5601978 6224420 7234209 8038010 8982180 9336630 9645612 11203956 12057015 14004945 14468418 16076020 18673260 24114030 28009890 28936836 36171045 48228060 56019780 72342090 111728339 144684180 223456678 335185017 446913356 558641695 670370034 1005555051 1117283390 1340740068 1675925085 2011110102 2234566780 3351850170 4022220204 5027775255 6703700340 10055550510 20111101020