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2000230100 = 2252114144351
BaseRepresentation
bin111011100111001…
…0001011011010100
312011101210012212022
41313032101123110
513044024330400
6530251512312
7100365450431
oct16716213324
95141705768
102000230100
11937094530
12479a58698
1325b52800b
1414d918b88
15ba90ab85
hex773916d4

2000230100 has 72 divisors (see below), whose sum is σ = 4850689536. Its totient is φ = 709600000.

The previous prime is 2000230093. The next prime is 2000230117. The reversal of 2000230100 is 10320002.

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 23 ways as a sum of consecutive naturals, for example, 22925 + ... + 67275.

It is an arithmetic number, because the mean of its divisors is an integer number (67370688).

Almost surely, 22000230100 is an apocalyptic number.

2000230100 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 2000230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425344768).

2000230100 is an abundant number, since it is smaller than the sum of its proper divisors (2850459436).

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

2000230100 is a wasteful number, since it uses less digits than its factorization.

2000230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44417 (or 44410 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2000230100 is about 44723.9320722139. The cubic root of 2000230100 is about 1259.9693660143.

Adding to 2000230100 its reverse (10320002), we get a palindrome (2010550102).

The spelling of 2000230100 in words is "two billion, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 164 205 220 275 410 451 550 820 902 1025 1100 1804 2050 2255 4100 4510 9020 11275 22550 44351 45100 88702 177404 221755 443510 487861 887020 975722 1108775 1818391 1951444 2217550 2439305 3636782 4435100 4878610 7273564 9091955 9757220 12196525 18183910 20002301 24393050 36367820 40004602 45459775 48786100 80009204 90919550 100011505 181839100 200023010 400046020 500057525 1000115050 2000230100