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212000110110100 = 225213163077007777
BaseRepresentation
bin110000001101000000011111…
…010000010110010110010100
31000210122000100011220100000201
4300031000133100112112110
5210241402211142010400
62030515301151350244
762440334234260654
oct6015003720262624
91023560304810021
10212000110110100
1161605818364534
121b93b05bb22384
13913a6a8721c70
143a4cc080a6364
1519799219b006a
hexc0d01f416594

212000110110100 has 36 divisors (see below), whose sum is σ = 495427949629564. Its totient is φ = 78276963732480.

The previous prime is 212000110110083. The next prime is 212000110110233. The reversal of 212000110110100 is 1011011000212.

It can be written as a sum of positive squares in 6 ways, for example, as 11742176942596 + 200257933167504 = 3426686^2 + 14151252^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81538502589 + ... + 81538505188.

Almost surely, 2212000110110100 is an apocalyptic number.

212000110110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212000110110100 is an abundant number, since it is smaller than the sum of its proper divisors (283427839519464).

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

212000110110100 is a wasteful number, since it uses less digits than its factorization.

212000110110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163077007804 (or 163077007797 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 212000110110100 its reverse (1011011000212), we get a palindrome (213011121110312).

The spelling of 212000110110100 in words is "two hundred twelve trillion, one hundred ten million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 163077007777 326154015554 652308031108 815385038885 1630770077770 2120001101101 3261540155540 4076925194425 4240002202202 8153850388850 8480004404404 10600005505505 16307700777700 21200011011010 42400022022020 53000027527525 106000055055050 212000110110100