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2110012202000 = 24532341745053
BaseRepresentation
bin11110101101000110100…
…001110001110000010000
321110201022101012202100002
4132231012201301300100
5234032301110431000
64253154244145132
7305305032535613
oct36550641616020
97421271182302
102110012202000
1174393a97549a
122a0b269981a8
13123c864441a1
14741a752c17a
1539d461d58d5
hex1eb46871c10

2110012202000 has 80 divisors (see below), whose sum is σ = 5102340630192. Its totient is φ = 843950105600.

The previous prime is 2110012201897. The next prime is 2110012202003. The reversal of 2110012202000 is 2022100112.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 572818895104 + 1537193306896 = 756848^2 + 1239836^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2110012202003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46811474 + ... + 46856526.

Almost surely, 22110012202000 is an apocalyptic number.

2110012202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2110012202000 is an abundant number, since it is smaller than the sum of its proper divisors (2992328428192).

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

2110012202000 is a wasteful number, since it uses less digits than its factorization.

2110012202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68493 (or 68477 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2110012202000 its reverse (2022100112), we get a palindrome (2112034302112).

The spelling of 2110012202000 in words is "two trillion, one hundred ten billion, twelve million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 23417 45053 46834 90106 93668 117085 180212 187336 225265 234170 360424 374672 450530 468340 585425 720848 901060 936680 1126325 1170850 1802120 1873360 2252650 2341700 2927125 3604240 4505300 4683400 5631625 5854250 9010600 9366800 11263250 11708500 18021200 22526500 23417000 45053000 46834000 90106000 1055006101 2110012202 4220024404 5275030505 8440048808 10550061010 16880097616 21100122020 26375152525 42200244040 52750305050 84400488080 105500610100 131875762625 211001220200 263751525250 422002440400 527503050500 1055006101000 2110012202000