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10030203200 = 265214942073
BaseRepresentation
bin10010101011101100…
…01100000101000000
3221220000121010010102
421111312030011000
5131020213000300
64335142021532
7503362214633
oct112566140500
927800533112
1010030203200
114287874136
121b3b1178a8
13c3b033aa4
146b2185c1a
153da8770d5
hex255d8c140

10030203200 has 84 divisors (see below), whose sum is σ = 24846800700. Its totient is φ = 3985059840.

The previous prime is 10030203191. The next prime is 10030203203. The reversal of 10030203200 is 230203001.

It can be written as a sum of positive squares in 6 ways, for example, as 3832105216 + 6198097984 = 61904^2 + 78728^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10030203203) 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 11 ways as a sum of consecutive naturals, for example, 217364 + ... + 259436.

Almost surely, 210030203200 is an apocalyptic number.

10030203200 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 10030203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12423400350).

10030203200 is an abundant number, since it is smaller than the sum of its proper divisors (14816597500).

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

10030203200 is a wasteful number, since it uses less digits than its factorization.

10030203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42244 (or 42229 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 10030203200 its reverse (230203001), we get a palindrome (10260406201).

The spelling of 10030203200 in words is "ten billion, thirty million, two hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 149 160 200 298 320 400 596 745 800 1192 1490 1600 2384 2980 3725 4768 5960 7450 9536 11920 14900 23840 29800 42073 47680 59600 84146 119200 168292 210365 238400 336584 420730 673168 841460 1051825 1346336 1682920 2103650 2692672 3365840 4207300 6268877 6731680 8414600 12537754 13463360 16829200 25075508 31344385 33658400 50151016 62688770 67316800 100302032 125377540 156721925 200604064 250755080 313443850 401208128 501510160 626887700 1003020320 1253775400 2006040640 2507550800 5015101600 10030203200