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10441434003 = 3711213378543
BaseRepresentation
bin10011011100101101…
…11010001110010011
3222221200101210201220
421232112322032103
5132341001342003
64444032100123
7516514503360
oct115626721623
928850353656
1010441434003
114478a0aa00
122034994643
13ca52a8220
14710a31467
15411a08353
hex26e5ba393

10441434003 has 96 divisors (see below), whose sum is σ = 19345256448. Its totient is φ = 4870990080.

The previous prime is 10441433999. The next prime is 10441434007. The reversal of 10441434003 is 30043414401.

It is an interprime number because it is at equal distance from previous prime (10441433999) and next prime (10441434007).

It is not a de Polignac number, because 10441434003 - 22 = 10441433999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10441434007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1217950 + ... + 1226492.

It is an arithmetic number, because the mean of its divisors is an integer number (201513088).

Almost surely, 210441434003 is an apocalyptic number.

10441434003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10441434003 is a deficient number, since it is larger than the sum of its proper divisors (8903822445).

10441434003 is a wasteful number, since it uses less digits than its factorization.

10441434003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8625 (or 8614 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10441434003 its reverse (30043414401), we get a palindrome (40484848404).

It can be divided in two parts, 10441 and 434003, that added together give a palindrome (444444).

The spelling of 10441434003 in words is "ten billion, four hundred forty-one million, four hundred thirty-four thousand, three".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 121 143 231 259 273 363 407 429 481 777 847 1001 1221 1443 1573 2541 2849 3003 3367 4477 4719 5291 8543 8547 10101 11011 13431 15873 25629 31339 33033 37037 58201 59801 93973 94017 111059 111111 174603 179403 281919 316091 333177 407407 657811 777413 948273 1033703 1221649 1222221 1973433 2212637 2332239 3101109 3477001 3664947 4109183 6637911 7235921 8551543 10431003 12327549 13438139 21707763 24339007 25654629 28764281 38247011 40314417 45201013 73017021 86292843 94066973 114741033 135603039 267729077 282200919 316407091 497211143 803187231 949221273 1491633429 3480478001 10441434003