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2100001012 = 222918103457
BaseRepresentation
bin111110100101011…
…0111100011110100
312102100112002211021
41331022313203310
513300100013022
6544214150524
7103016466634
oct17512674364
95370462737
102100001012
1198843992a
124a7352444
132760bb465
1415cc8a6c4
15c45677c7
hex7d2b78f4

2100001012 has 12 divisors (see below), whose sum is σ = 3801726180. Its totient is φ = 1013793536.

The previous prime is 2100000997. The next prime is 2100001021. The reversal of 2100001012 is 2101000012.

It can be written as a sum of positive squares in 2 ways, for example, as 919666276 + 1180334736 = 30326^2 + 34356^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2100000986 and 2100001004.

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 3 ways as a sum of consecutive naturals, for example, 9051613 + ... + 9051844.

It is an arithmetic number, because the mean of its divisors is an integer number (316810515).

Almost surely, 22100001012 is an apocalyptic number.

It is an amenable number.

2100001012 is a deficient number, since it is larger than the sum of its proper divisors (1701725168).

2100001012 is a wasteful number, since it uses less digits than its factorization.

2100001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18103490 (or 18103488 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 2100001012 is about 45825.7679913823. The cubic root of 2100001012 is about 1280.5793706932.

Adding to 2100001012 its reverse (2101000012), we get a palindrome (4201001024).

The spelling of 2100001012 in words is "two billion, one hundred million, one thousand, twelve".

Divisors: 1 2 4 29 58 116 18103457 36206914 72413828 525000253 1050000506 2100001012