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1004145003 = 321973257313
BaseRepresentation
bin111011110110100…
…000100101101011
32120222110211222200
4323312200211223
54024030120003
6243350151243
733612043311
oct7366404553
92528424880
101004145003
114758a5004
12240352523
1313005ba54
149750a0b1
155d24e6a3
hex3bda096b

1004145003 has 48 divisors (see below), whose sum is σ = 1558670880. Its totient is φ = 621084672.

The previous prime is 1004144993. The next prime is 1004145011. The reversal of 1004145003 is 3005414001.

It is a happy number.

It is not a de Polignac number, because 1004145003 - 210 = 1004143979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1004145053) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3207975 + ... + 3208287.

It is an arithmetic number, because the mean of its divisors is an integer number (32472310).

Almost surely, 21004145003 is an apocalyptic number.

1004145003 is a deficient number, since it is larger than the sum of its proper divisors (554525877).

1004145003 is a wasteful number, since it uses less digits than its factorization.

1004145003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1004145003 is about 31688.2470799506. The cubic root of 1004145003 is about 1001.3797630450.

Adding to 1004145003 its reverse (3005414001), we get a palindrome (4009559004).

The spelling of 1004145003 in words is "one billion, four million, one hundred forty-five thousand, three".

Divisors: 1 3 9 19 57 73 171 219 257 313 657 771 939 1387 2313 2817 4161 4883 5947 12483 14649 17841 18761 22849 43947 53523 56283 68547 80441 168849 205641 241323 356459 434131 723969 1069377 1302393 1528379 3208131 3907179 4585137 5872193 13755411 17616579 52849737 111571667 334715001 1004145003