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2032141300 = 2252743181373
BaseRepresentation
bin111100100100000…
…0000001111110100
312020121211110210121
41321020000033310
513130212010200
6533351501324
7101233626130
oct17110001764
95217743717
102032141300
119530aa922
12488687844
1326501bb97
14153c643c0
15bd610e1a
hex792003f4

2032141300 has 144 divisors (see below), whose sum is σ = 5199306112. Its totient is φ = 674956800.

The previous prime is 2032141283. The next prime is 2032141313. The reversal of 2032141300 is 31412302.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 5447914 + ... + 5448286.

Almost surely, 22032141300 is an apocalyptic number.

2032141300 is a gapful number since it is divisible by the number (20) 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 2032141300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2599653056).

2032141300 is an abundant number, since it is smaller than the sum of its proper divisors (3167164812).

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

2032141300 is a wasteful number, since it uses less digits than its factorization.

2032141300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2032141300 is about 45079.2779445279. The cubic root of 2032141300 is about 1266.6344644014.

Adding to 2032141300 its reverse (31412302), we get a palindrome (2063553602).

The spelling of 2032141300 in words is "two billion, thirty-two million, one hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 43 50 70 86 100 140 172 175 181 215 301 350 362 373 430 602 700 724 746 860 905 1075 1204 1267 1492 1505 1810 1865 2150 2534 2611 3010 3620 3730 4300 4525 5068 5222 6020 6335 7460 7525 7783 9050 9325 10444 12670 13055 15050 15566 16039 18100 18650 25340 26110 30100 31132 31675 32078 37300 38915 52220 54481 63350 64156 65275 67513 77830 80195 108962 112273 126700 130550 135026 155660 160390 194575 217924 224546 261100 270052 272405 320780 337565 389150 400975 449092 472591 544810 561365 675130 778300 801950 945182 1089620 1122730 1350260 1362025 1603900 1687825 1890364 2245460 2362955 2724050 2806825 2903059 3375650 4725910 5448100 5613650 5806118 6751300 9451820 11227300 11612236 11814775 14515295 20321413 23629550 29030590 40642826 47259100 58061180 72576475 81285652 101607065 145152950 203214130 290305900 406428260 508035325 1016070650 2032141300