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24203004424313 = 1121361972600393
BaseRepresentation
bin1011000000011001100110…
…11110110011000001111001
310011200210011222210110102212
411200030303132303001321
511133020223113034223
6123250412353304505
75045416004122421
oct540146336630171
9104623158713385
1024203004424313
117791489032300
12286a855265135
1310674449a18b0
145d96086b7481
152be897e30278
hex1603337b3079

24203004424313 has 48 divisors (see below), whose sum is σ = 29419588723728. Its totient is φ = 19771300454400.

The previous prime is 24203004424243. The next prime is 24203004424343. The reversal of 24203004424313 is 31342440030242.

It can be written as a sum of positive squares in 8 ways, for example, as 590480054329 + 23612524369984 = 768427^2 + 4859272^2 .

It is not a de Polignac number, because 24203004424313 - 216 = 24203004358777 is a prime.

It is a super-3 number, since 3×242030044243133 (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 24203004424313.

It is not an unprimeable number, because it can be changed into a prime (24203004424343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8007245 + ... + 10607637.

It is an arithmetic number, because the mean of its divisors is an integer number (612908098411).

Almost surely, 224203004424313 is an apocalyptic number.

It is an amenable number.

24203004424313 is a deficient number, since it is larger than the sum of its proper divisors (5216584299415).

24203004424313 is a wasteful number, since it uses less digits than its factorization.

24203004424313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2600586 (or 2600575 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 24203004424313 its reverse (31342440030242), we get a palindrome (55545444454555).

The spelling of 24203004424313 in words is "twenty-four trillion, two hundred three billion, four million, four hundred twenty-four thousand, three hundred thirteen".

Divisors: 1 11 13 61 97 121 143 671 793 1067 1261 1573 5917 7381 8723 11737 13871 65087 76921 95953 152581 715957 846131 2600393 9307441 28604323 33805109 158623973 252238121 314647553 371856199 1744863703 2062111649 2774619331 3279095573 4090418189 15386525381 19193500733 22683228139 30520812641 36070051303 169251779191 200024829953 249515509529 396770564333 1861769571101 2200273129483 24203004424313