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23203203300 = 2234527339241
BaseRepresentation
bin10101100111000001…
…001100100011100100
32012220001220212010000
4111213001030203210
5340010010001200
614354233101300
71450665655014
oct254701144344
965801825100
1023203203300
119927670082
1245b6857830
13225a1c84c4
1411a18a5c44
1590c09d300
hex56704c8e4

23203203300 has 180 divisors, whose sum is σ = 76247912356. Its totient is φ = 6102604800.

The previous prime is 23203203281. The next prime is 23203203341. The reversal of 23203203300 is 330230232.

23203203300 is a `hidden beast` number, since 23 + 20 + 320 + 3 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1358954496 + 21844248804 = 36864^2 + 147798^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×232032033002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 571680 + ... + 610920.

Almost surely, 223203203300 is an apocalyptic number.

23203203300 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 23203203300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38123956178).

23203203300 is an abundant number, since it is smaller than the sum of its proper divisors (53044709056).

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

23203203300 is a wasteful number, since it uses less digits than its factorization.

23203203300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39340 (or 39324 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 23203203300 its reverse (330230232), we get a palindrome (23533433532).

The spelling of 23203203300 in words is "twenty-three billion, two hundred three million, two hundred three thousand, three hundred".