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23000300200 = 2352293965569
BaseRepresentation
bin10101011010111011…
…001011101010101000
32012100221010022101101
4111122323023222220
5334101034101300
614322144131144
71442653216543
oct253273135250
965327108341
1023000300200
119833084a69
12455a906ab4
1322271659b7
14118296985a
158e936db6a
hex55aecbaa8

23000300200 has 48 divisors (see below), whose sum is σ = 55319701500. Its totient is φ = 8882872320.

The previous prime is 23000300189. The next prime is 23000300201. The reversal of 23000300200 is 200300032.

It can be written as a sum of positive squares in 6 ways, for example, as 10366090596 + 12634209604 = 101814^2 + 112402^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (23000300201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1976985 + ... + 1988584.

Almost surely, 223000300200 is an apocalyptic number.

23000300200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23000300200 is an abundant number, since it is smaller than the sum of its proper divisors (32319401300).

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

23000300200 is a wasteful number, since it uses less digits than its factorization.

23000300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3965614 (or 3965605 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

Adding to 23000300200 its reverse (200300032), we get a palindrome (23200600232).

The spelling of 23000300200 in words is "twenty-three billion, three hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5800 3965569 7931138 15862276 19827845 31724552 39655690 79311380 99139225 115001501 158622760 198278450 230003002 396556900 460006004 575007505 793113800 920012008 1150015010 2300030020 2875037525 4600060040 5750075050 11500150100 23000300200