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1041004010 = 251722912421
BaseRepresentation
bin111110000011000…
…111010111101010
32200112211111001002
4332003013113222
54112444112020
6251144155002
734540250054
oct7603072752
92615744032
101041004010
1149468a7a2
12250768a62
13137895a07
149c3828d4
15615d0975
hex3e0c75ea

1041004010 has 48 divisors (see below), whose sum is σ = 2059319160. Its totient is φ = 378362880.

The previous prime is 1041004009. The next prime is 1041004021. The reversal of 1041004010 is 104001401.

It can be written as a sum of positive squares in 12 ways, for example, as 671172649 + 369831361 = 25907^2 + 19231^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1041003982 and 1041004000.

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 23 ways as a sum of consecutive naturals, for example, 77600 + ... + 90020.

Almost surely, 21041004010 is an apocalyptic number.

1041004010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1041004010 is a deficient number, since it is larger than the sum of its proper divisors (1018315150).

1041004010 is a wasteful number, since it uses less digits than its factorization.

1041004010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12491 (or 12474 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1041004010 is about 32264.5937522852. The cubic root of 1041004010 is about 1013.4853317075.

Adding to 1041004010 its reverse (104001401), we get a palindrome (1145005411).

The spelling of 1041004010 in words is "one billion, forty-one million, four thousand, ten".

Divisors: 1 2 5 10 17 29 34 58 85 145 170 289 290 493 578 986 1445 2465 2890 4930 8381 12421 16762 24842 41905 62105 83810 124210 211157 360209 422314 720418 1055785 1801045 2111570 3589669 3602090 6123553 7179338 12247106 17948345 30617765 35896690 61235530 104100401 208200802 520502005 1041004010