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1004131121 = 71071917019
BaseRepresentation
bin111011110110011…
…101001100110001
32120222110010221112
4323312131030301
54024024143441
6243350003105
733611654660
oct7366351461
92528403845
101004131121
11475895634
12240346495
13130055636
1497504dd7
155d24a4eb
hex3bd9d331

1004131121 has 16 divisors (see below), whose sum is σ = 1164533760. Its totient is φ = 848055120.

The previous prime is 1004131111. The next prime is 1004131127. The reversal of 1004131121 is 1211314001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1004131121 is a prime.

It is a super-3 number, since 3×10041311213 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1004131096 and 1004131105.

It is not an unprimeable number, because it can be changed into a prime (1004131127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139550 + ... + 146568.

It is an arithmetic number, because the mean of its divisors is an integer number (72783360).

Almost surely, 21004131121 is an apocalyptic number.

It is an amenable number.

1004131121 is a deficient number, since it is larger than the sum of its proper divisors (160402639).

1004131121 is a wasteful number, since it uses less digits than its factorization.

1004131121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7324.

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 1004131121 is about 31688.0280389929. The cubic root of 1004131121 is about 1001.3751484333.

Adding to 1004131121 its reverse (1211314001), we get a palindrome (2215445122).

The spelling of 1004131121 in words is "one billion, four million, one hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 7 107 191 749 1337 7019 20437 49133 143059 751033 1340629 5257231 9384403 143447303 1004131121