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2431230010 = 2511217181653
BaseRepresentation
bin1001000011101001…
…1010000000111010
320021102210021120221
42100322122000322
514434343330020
61041125410254
7114151054066
oct22072320072
96242707527
102431230010
111038403100
1257a26998a
132c9901751
14190c6caa6
15e36946aa
hex90e9a03a

2431230010 has 96 divisors (see below), whose sum is σ = 5129154576. Its totient is φ = 826214400.

The previous prime is 2431230007. The next prime is 2431230029. The reversal of 2431230010 is 100321342.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 336245569 + 2094984441 = 18337^2 + 45771^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3722844 + ... + 3723496.

Almost surely, 22431230010 is an apocalyptic number.

2431230010 is an abundant number, since it is smaller than the sum of its proper divisors (2697924566).

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

2431230010 is a wasteful number, since it uses less digits than its factorization.

2431230010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2431230010 is about 49307.5046012268. The cubic root of 2431230010 is about 1344.6482240852.

Adding to 2431230010 its reverse (100321342), we get a palindrome (2531551352).

The spelling of 2431230010 in words is "two billion, four hundred thirty-one million, two hundred thirty thousand, ten".

Divisors: 1 2 5 10 11 17 22 34 55 85 110 121 170 181 187 242 362 374 605 653 905 935 1210 1306 1810 1870 1991 2057 3077 3265 3982 4114 6154 6530 7183 9955 10285 11101 14366 15385 19910 20570 21901 22202 30770 33847 35915 43802 55505 67694 71830 79013 109505 111010 118193 122111 158026 169235 219010 236386 244222 338470 372317 395065 590965 610555 744634 790130 1181930 1221110 1300123 1343221 1861585 2009281 2600246 2686442 3723170 4018562 6500615 6716105 10046405 13001230 13432210 14301353 20092810 22102091 28602706 44204182 71506765 110510455 143013530 221020910 243123001 486246002 1215615005 2431230010