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2100440012 = 2211211233971
BaseRepresentation
bin111110100110010…
…0010101111001100
312102101100102000112
41331030202233030
513300203040022
6544231415152
7103023305546
oct17514425714
95371312015
102100440012
11988709740
124a75244b8
13276213218
1415cd62696
15c46028e2
hex7d322bcc

2100440012 has 48 divisors (see below), whose sum is σ = 4050393984. Its totient is φ = 945168000.

The previous prime is 2100440003. The next prime is 2100440029.

2100440012 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2162687 + ... + 2163657.

It is an arithmetic number, because the mean of its divisors is an integer number (84383208).

Almost surely, 22100440012 is an apocalyptic number.

2100440012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2100440012 is a deficient number, since it is larger than the sum of its proper divisors (1949953972).

2100440012 is a wasteful number, since it uses less digits than its factorization.

2100440012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2100440012 is about 45830.5576226168. The cubic root of 2100440012 is about 1280.6685984557.

It can be divided in two parts, 21004 and 40012, that added together give a palindrome (61016).

The spelling of 2100440012 in words is "two billion, one hundred million, four hundred forty thousand, twelve".

Divisors: 1 2 4 11 22 44 211 233 422 466 844 932 971 1942 2321 2563 3884 4642 5126 9284 10252 10681 21362 42724 49163 98326 196652 204881 226243 409762 452486 540793 819524 904972 1081586 2163172 2253691 2488673 4507382 4977346 9014764 9954692 47737273 95474546 190949092 525110003 1050220006 2100440012