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1003304102121 = 3219173296911423
BaseRepresentation
bin11101001100110011001…
…01011010100011101001
310112220200222200012111200
432212121211122203221
5112414231322231441
62044524520514413
7132325545104556
oct16463145324351
93486628605450
101003304102121
11357554011802
1214254461ba09
13737c3986059
14367bb1ada2d
151b1718797b6
hexe99995a8e9

1003304102121 has 48 divisors (see below), whose sum is σ = 1534960627200. Its totient is φ = 629735613696.

The previous prime is 1003304102051. The next prime is 1003304102147. The reversal of 1003304102121 is 1212014033001.

1003304102121 is a `hidden beast` number, since 10 + 0 + 3 + 30 + 410 + 212 + 1 = 666.

It is not a de Polignac number, because 1003304102121 - 218 = 1003303839977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1003304102094 and 1003304102103.

It is not an unprimeable number, because it can be changed into a prime (1003304102161) 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, 87826216 + ... + 87837638.

It is an arithmetic number, because the mean of its divisors is an integer number (31978346400).

Almost surely, 21003304102121 is an apocalyptic number.

It is an amenable number.

1003304102121 is a deficient number, since it is larger than the sum of its proper divisors (531656525079).

1003304102121 is a wasteful number, since it uses less digits than its factorization.

1003304102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14590 (or 14587 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1003304102121 its reverse (1212014033001), we get a palindrome (2215318135122).

The spelling of 1003304102121 in words is "one trillion, three billion, three hundred four million, one hundred two thousand, one hundred twenty-one".

Divisors: 1 3 9 19 57 171 173 519 1557 2969 3287 8907 9861 11423 26721 29583 34269 56411 102807 169233 217037 507699 513637 651111 1540911 1953333 1976179 4622733 5928537 9759103 17785611 29277309 33914887 37547401 87831927 101744661 112642203 305233983 337926609 644382853 1933148559 5799445677 5867275451 17601826353 52805479059 111478233569 334434700707 1003304102121