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20110010002020 = 2234528901429521
BaseRepresentation
bin1001001001010001110100…
…00000001010101001100100
32122012111110011200122020000
410210220322000022221210
510113440300030031040
6110434224442141300
74143620536430511
oct444507200125144
978174404618200
1020110010002020
116453675419884
1223095557b1830
13b2b49a8a33a3
144d74888c6308
1524d192ca7130
hex124a3a00aa64

20110010002020 has 120 divisors (see below), whose sum is σ = 63088175897208. Its totient is φ = 5362471296000.

The previous prime is 20110010002013. The next prime is 20110010002051. The reversal of 20110010002020 is 2020001001102.

It can be written as a sum of positive squares in 4 ways, for example, as 4834044233316 + 15275965768704 = 2198646^2 + 3908448^2 .

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 = 20110010001993 and 20110010002011.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46604860 + ... + 47034380.

Almost surely, 220110010002020 is an apocalyptic number.

20110010002020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20110010002020 is an abundant number, since it is smaller than the sum of its proper divisors (42978165895188).

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

20110010002020 is a wasteful number, since it uses less digits than its factorization.

20110010002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458443 (or 458432 counting only the distinct ones).

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

Adding to 20110010002020 its reverse (2020001001102), we get a palindrome (22130011003122).

The spelling of 20110010002020 in words is "twenty trillion, one hundred ten billion, ten million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 28901 57802 86703 115604 144505 173406 260109 289010 346812 429521 433515 520218 578020 780327 859042 867030 1040436 1288563 1300545 1560654 1718084 1734060 2147605 2340981 2577126 2601090 3121308 3865689 3901635 4295210 4681962 5154252 5202180 6442815 7731378 7803270 8590420 9363924 11597067 11704905 12885630 15462756 15606540 19328445 23194134 23409810 25771260 34791201 38656890 46388268 46819620 57985335 69582402 77313780 115970670 139164804 173956005 231941340 347912010 695824020 12413586421 24827172842 37240759263 49654345684 62067932105 74481518526 111722277789 124135864210 148963037052 186203796315 223444555578 248271728420 335166833367 372407592630 446889111156 558611388945 670333666734 744815185260 1005500500101 1117222777890 1340667333468 1675834166835 2011001000202 2234445555780 3351668333670 4022002000404 5027502500505 6703336667340 10055005001010 20110010002020