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1004124121 = 721113473049
BaseRepresentation
bin111011110110011…
…011011111011001
32120222102210100021
4323312123133121
54024023432441
6243345510441
733611625400
oct7366333731
92528383307
101004124121
11475890350
12240342421
131300523b0
1497502637
155d2483d1
hex3bd9b7d9

1004124121 has 48 divisors (see below), whose sum is σ = 1401926400. Its totient is φ = 706648320.

The previous prime is 1004124067. The next prime is 1004124139. The reversal of 1004124121 is 1214214001.

It is a happy number.

It is not a de Polignac number, because 1004124121 - 211 = 1004122073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1004124095 and 1004124104.

It is not an unprimeable number, because it can be changed into a prime (1004124161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 327805 + ... + 330853.

It is an arithmetic number, because the mean of its divisors is an integer number (29206800).

Almost surely, 21004124121 is an apocalyptic number.

1004124121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1004124121 is a deficient number, since it is larger than the sum of its proper divisors (397802279).

1004124121 is a wasteful number, since it uses less digits than its factorization.

1004124121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3134 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1004124121 is about 31687.9175869920. The cubic root of 1004124121 is about 1001.3728214987.

Adding to 1004124121 its reverse (1214214001), we get a palindrome (2218338122).

The spelling of 1004124121 in words is "one billion, four million, one hundred twenty-four thousand, one hundred twenty-one".

Divisors: 1 7 11 13 47 49 77 91 143 329 517 539 611 637 1001 2303 3049 3619 4277 6721 7007 21343 25333 29939 33539 39637 47047 143303 149401 234773 277459 329329 436007 1003121 1576333 1643411 1862939 1942213 3052049 7021847 11034331 13040573 20492329 21364343 77240317 91284011 143446303 1004124121