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1042001010 = 2355428807
BaseRepresentation
bin111110000110111…
…010110001110010
32200121201010200000
4332012322301302
54113223013020
6251221410430
734551601551
oct7606726162
92617633600
101042001010
11495200866
12250b69a16
13137b5475b
149c561d98
156172b090
hex3e1bac72

1042001010 has 48 divisors (see below), whose sum is σ = 2809550016. Its totient is φ = 277866288.

The previous prime is 1042000991. The next prime is 1042001011. The reversal of 1042001010 is 101002401.

It is a happy number.

It is a super-2 number, since 2×10420010102 = 2171532209682040200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1042000983 and 1042001001.

It is not an unprimeable number, because it can be changed into a prime (1042001011) 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 23 ways as a sum of consecutive naturals, for example, 211974 + ... + 216833.

It is an arithmetic number, because the mean of its divisors is an integer number (58532292).

Almost surely, 21042001010 is an apocalyptic number.

1042001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1042001010 is an abundant number, since it is smaller than the sum of its proper divisors (1767549006).

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

1042001010 is an equidigital number, since it uses as much as digits as its factorization.

1042001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428829 (or 428817 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1042001010 is about 32280.0404274840. The cubic root of 1042001010 is about 1013.8087766574.

Adding to 1042001010 its reverse (101002401), we get a palindrome (1143003411).

The spelling of 1042001010 in words is "one billion, forty-two million, one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 2430 428807 857614 1286421 2144035 2572842 3859263 4288070 6432105 7718526 11577789 12864210 19296315 23155578 34733367 38592630 57888945 69466734 104200101 115777890 173666835 208400202 347333670 521000505 1042001010