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12002010200 = 2352174018803
BaseRepresentation
bin10110010110110000…
…00010010001011000
31010222102220021211022
423023120002101120
5144040003311300
65302540422012
7603264255245
oct131330022130
933872807738
1012002010200
1150a99049a4
1223ab547908
1311936b97ab
1481bdc25cc
154a3a1b285
hex2cb602458

12002010200 has 96 divisors (see below), whose sum is σ = 29623170960. Its totient is φ = 4506624000.

The previous prime is 12002010199. The next prime is 12002010203. The reversal of 12002010200 is 201020021.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002010203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1358999 + ... + 1367801.

Almost surely, 212002010200 is an apocalyptic number.

12002010200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12002010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14811585480).

12002010200 is an abundant number, since it is smaller than the sum of its proper divisors (17621160760).

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

12002010200 is a wasteful number, since it uses less digits than its factorization.

12002010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9237 (or 9228 counting only the distinct ones).

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

Adding to 12002010200 its reverse (201020021), we get a palindrome (12203030221).

The spelling of 12002010200 in words is "twelve billion, two million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 401 425 680 802 850 1604 1700 2005 3208 3400 4010 6817 8020 8803 10025 13634 16040 17606 20050 27268 34085 35212 40100 44015 54536 68170 70424 80200 88030 136340 149651 170425 176060 220075 272680 299302 340850 352120 440150 598604 681700 748255 880300 1197208 1363400 1496510 1760600 2993020 3530003 3741275 5986040 7060006 7482550 14120012 14965100 17650015 28240024 29930200 35300030 60010051 70600060 88250075 120020102 141200120 176500150 240040204 300050255 353000300 480080408 600100510 706000600 1200201020 1500251275 2400402040 3000502550 6001005100 12002010200