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211120201000000 = 2656211120201
BaseRepresentation
bin110000000000001101000000…
…100101011110010001000000
31000200111220010210200012112201
4300000031000211132101000
5210132443132424000000
62025003140441402544
762316634251244315
oct6000150045362100
91020456123605481
10211120201000000
11612a6635632686
121b818614199454
1390a571b4147b6
143a1c3b50a4d0c
151961ac31a496a
hexc0034095e440

211120201000000 has 98 divisors (see below), whose sum is σ = 523670360488274. Its totient is φ = 84448080000000.

The previous prime is 211120200999977. The next prime is 211120201000067. The reversal of 211120201000000 is 102021112.

It can be written as a sum of positive squares in 7 ways, for example, as 210688940856384 + 431260143616 = 14515128^2 + 656704^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 104560101 + ... + 106560100.

Almost surely, 2211120201000000 is an apocalyptic number.

211120201000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211120201000000 is an abundant number, since it is smaller than the sum of its proper divisors (312550159488274).

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

211120201000000 is an frugal number, since it uses more digits than its factorization.

211120201000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211120243 (or 211120208 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 211120201000000 its reverse (102021112), we get a palindrome (211120303021112).

The spelling of 211120201000000 in words is "two hundred eleven trillion, one hundred twenty billion, two hundred one million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 15625 20000 25000 31250 40000 50000 62500 100000 125000 200000 250000 500000 1000000 211120201 422240402 844480804 1055601005 1688961608 2111202010 3377923216 4222404020 5278005025 6755846432 8444808040 10556010050 13511692864 16889616080 21112020100 26390025125 33779232160 42224040200 52780050250 67558464320 84448080400 105560100500 131950125625 168896160800 211120201000 263900251250 337792321600 422240402000 527800502500 659750628125 844480804000 1055601005000 1319501256250 1688961608000 2111202010000 2639002512500 3298753140625 4222404020000 5278005025000 6597506281250 8444808040000 10556010050000 13195012562500 21112020100000 26390025125000 42224040200000 52780050250000 105560100500000 211120201000000