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24311141300 = 2252613985433
BaseRepresentation
bin10110101001000011…
…101001001110110100
32022202021200221022202
4112221003221032310
5344242123010200
615100212044032
71520311201655
oct265103511664
968667627282
1024311141300
11a346007316
124865903618
1323a58c8314
141268aad52c
159744a11d5
hex5a90e93b4

24311141300 has 36 divisors (see below), whose sum is σ = 53620029036. Its totient is φ = 9565036800.

The previous prime is 24311141291. The next prime is 24311141339. The reversal of 24311141300 is 314111342.

It can be written as a sum of positive squares in 6 ways, for example, as 3278020516 + 21033120784 = 57254^2 + 145028^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1986617 + ... + 1998816.

It is an arithmetic number, because the mean of its divisors is an integer number (1489445251).

Almost surely, 224311141300 is an apocalyptic number.

24311141300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24311141300 is an abundant number, since it is smaller than the sum of its proper divisors (29308887736).

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

24311141300 is a wasteful number, since it uses less digits than its factorization.

24311141300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3985508 (or 3985501 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 24311141300 its reverse (314111342), we get a palindrome (24625252642).

The spelling of 24311141300 in words is "twenty-four billion, three hundred eleven million, one hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100 3985433 7970866 15941732 19927165 39854330 79708660 99635825 199271650 243111413 398543300 486222826 972445652 1215557065 2431114130 4862228260 6077785325 12155570650 24311141300