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12002002100 = 2252112991901
BaseRepresentation
bin10110010110110000…
…00000010010110100
31010222102212212201022
423023120000102310
5144040003031400
65302540320312
7603264222524
oct131330002264
933872785638
1012002002100
1150a98a9900
1223ab543098
1311936b5bba
1481bdbd684
154a3a18b85
hex2cb6004b4

12002002100 has 54 divisors (see below), whose sum is σ = 28627283622. Its totient is φ = 4364360000.

The previous prime is 12002002097. The next prime is 12002002151. The reversal of 12002002100 is 120020021.

It can be written as a sum of positive squares in 3 ways, for example, as 1324086544 + 10677915556 = 36388^2 + 103334^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 483851 + ... + 508050.

Almost surely, 212002002100 is an apocalyptic number.

12002002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002002100 is an abundant number, since it is smaller than the sum of its proper divisors (16625281522).

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

12002002100 is a wasteful number, since it uses less digits than its factorization.

12002002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991937 (or 991919 counting only the distinct ones).

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

Adding to 12002002100 its reverse (120020021), we get a palindrome (12122022121).

12002002100 divided by its reverse (120020021) gives a square (100 = 102).

The spelling of 12002002100 in words is "twelve billion, two million, two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 991901 1983802 3967604 4959505 9919010 10910911 19838020 21821822 24797525 43643644 49595050 54554555 99190100 109109110 120020021 218218220 240040042 272772775 480080084 545545550 600100105 1091091100 1200200210 2400400420 3000500525 6001001050 12002002100