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23141301200 = 2452123746769
BaseRepresentation
bin10101100011010101…
…000011101111010000
32012201202102220101122
4111203111003233100
5334343133114300
614344142221412
71446314546303
oct254325035720
965652386348
1023141301200
1198a5730116
124599b84868
13224a433844
141197590b3a
15906921c85
hex563543bd0

23141301200 has 60 divisors (see below), whose sum is σ = 55643110860. Its totient is φ = 9248839680.

The previous prime is 23141301179. The next prime is 23141301223. The reversal of 23141301200 is 210314132.

It can be written as a sum of positive squares in 6 ways, for example, as 584865856 + 22556435344 = 24184^2 + 150188^2 .

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 11 ways as a sum of consecutive naturals, for example, 471416 + ... + 518184.

It is an arithmetic number, because the mean of its divisors is an integer number (927385181).

Almost surely, 223141301200 is an apocalyptic number.

23141301200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23141301200 is an abundant number, since it is smaller than the sum of its proper divisors (32501809660).

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

23141301200 is a wasteful number, since it uses less digits than its factorization.

23141301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48024 (or 48013 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 23141301200 its reverse (210314132), we get a palindrome (23351615332).

The spelling of 23141301200 in words is "twenty-three billion, one hundred forty-one million, three hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1237 2474 4948 6185 9896 12370 19792 24740 30925 46769 49480 61850 93538 98960 123700 187076 233845 247400 374152 467690 494800 748304 935380 1169225 1870760 2338450 3741520 4676900 9353800 18707600 57853253 115706506 231413012 289266265 462826024 578532530 925652048 1157065060 1446331325 2314130120 2892662650 4628260240 5785325300 11570650600 23141301200