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2100000212 = 228911175281
BaseRepresentation
bin111110100101011…
…0111010111010100
312102100112001201122
41331022313113110
513300100001322
6544214143112
7103016464412
oct17512672724
95370461648
102100000212
11988439272
124a7351a98
132760bac9b
1415cc8a2b2
15c4567442
hex7d2b75d4

2100000212 has 24 divisors (see below), whose sum is σ = 3720323880. Its totient is φ = 1037076480.

The previous prime is 2100000209. The next prime is 2100000263. The reversal of 2100000212 is 2120000012.

It can be written as a sum of positive squares in 4 ways, for example, as 145829776 + 1954170436 = 12076^2 + 44206^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2100000212.

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 7 ways as a sum of consecutive naturals, for example, 395012 + ... + 400292.

It is an arithmetic number, because the mean of its divisors is an integer number (155013495).

Almost surely, 22100000212 is an apocalyptic number.

It is an amenable number.

2100000212 is a deficient number, since it is larger than the sum of its proper divisors (1620323668).

2100000212 is a wasteful number, since it uses less digits than its factorization.

2100000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6491 (or 6489 counting only the distinct ones).

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

The square root of 2100000212 is about 45825.7592626680. The cubic root of 2100000212 is about 1280.5792080800.

Adding to 2100000212 its reverse (2120000012), we get a palindrome (4220000224).

The spelling of 2100000212 in words is "two billion, one hundred million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 89 178 356 1117 2234 4468 5281 10562 21124 99413 198826 397652 470009 940018 1880036 5898877 11797754 23595508 525000053 1050000106 2100000212