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4243210000 = 24542112011
BaseRepresentation
bin1111110011101010…
…0011111100010000
3101221201100101211221
43330322203330100
532142230210000
61541014414424
7210102455431
oct37472437420
911851311757
104243210000
1118881aa527
129a5061414
13528127663
142c3783488
1519c7b761a
hexfcea3f10

4243210000 has 100 divisors (see below), whose sum is σ = 10327056784. Its totient is φ = 1688400000.

The previous prime is 4243209973. The next prime is 4243210021. The reversal of 4243210000 is 123424.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×42432100002 = 36009662208200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2108995 + ... + 2111005.

Almost surely, 24243210000 is an apocalyptic number.

4243210000 is a gapful number since it is divisible by the number (40) 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 4243210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5163528392).

4243210000 is an abundant number, since it is smaller than the sum of its proper divisors (6083846784).

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

4243210000 is a wasteful number, since it uses less digits than its factorization.

4243210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4243210000 is about 65139.9263125159. The cubic root of 4243210000 is about 1618.9428147956.

Adding to 4243210000 its reverse (123424), we get a palindrome (4243333424).

The spelling of 4243210000 in words is "four billion, two hundred forty-three million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 211 250 400 422 500 625 844 1000 1055 1250 1688 2000 2011 2110 2500 3376 4022 4220 5000 5275 8044 8440 10000 10055 10550 16088 16880 20110 21100 26375 32176 40220 42200 50275 52750 80440 84400 100550 105500 131875 160880 201100 211000 251375 263750 402200 422000 424321 502750 527500 804400 848642 1005500 1055000 1256875 1697284 2011000 2110000 2121605 2513750 3394568 4022000 4243210 5027500 6789136 8486420 10055000 10608025 16972840 20110000 21216050 33945680 42432100 53040125 84864200 106080250 169728400 212160500 265200625 424321000 530401250 848642000 1060802500 2121605000 4243210000