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2100143000 = 235341181283
BaseRepresentation
bin111110100101101…
…1010001110011000
312102100210022121002
41331023122032120
513300114034000
6544221204132
7103020630614
oct17513321630
95370708532
102100143000
1198852657a
124a7400648
1327613ac87
1415ccc6344
15c45948d5
hex7d2da398

2100143000 has 128 divisors (see below), whose sum is σ = 5079896640. Its totient is φ = 812160000.

The previous prime is 2100142997. The next prime is 2100143021. The reversal of 2100143000 is 3410012.

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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7420859 + ... + 7421141.

Almost surely, 22100143000 is an apocalyptic number.

2100143000 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 2100143000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539948320).

2100143000 is an abundant number, since it is smaller than the sum of its proper divisors (2979753640).

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

2100143000 is a wasteful number, since it uses less digits than its factorization.

2100143000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2100143000 is about 45827.3171809130. The cubic root of 2100143000 is about 1280.6082314421.

Adding to 2100143000 its reverse (3410012), we get a palindrome (2103553012).

The spelling of 2100143000 in words is "two billion, one hundred million, one hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 181 200 205 250 283 328 362 410 500 566 724 820 905 1000 1025 1132 1415 1448 1640 1810 2050 2264 2830 3620 4100 4525 5125 5660 7075 7240 7421 8200 9050 10250 11320 11603 14150 14842 18100 20500 22625 23206 28300 29684 35375 36200 37105 41000 45250 46412 51223 56600 58015 59368 70750 74210 90500 92824 102446 116030 141500 148420 181000 185525 204892 232060 256115 283000 290075 296840 371050 409784 464120 512230 580150 742100 927625 1024460 1160300 1280575 1450375 1484200 1855250 2048920 2100143 2320600 2561150 2900750 3710500 4200286 5122300 5801500 6402875 7421000 8400572 10244600 10500715 11603000 12805750 16801144 21001430 25611500 42002860 51223000 52503575 84005720 105007150 210014300 262517875 420028600 525035750 1050071500 2100143000