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103004321 = 7212131733
BaseRepresentation
bin1100010001110…
…11100010100001
321011211011100212
412020323202201
5202332114241
614115423505
72360344100
oct610734241
9234734325
10103004321
1153163742
122a5b4b95
1318456104
14d974037
159099beb
hex623b8a1

103004321 has 12 divisors (see below), whose sum is σ = 119989332. Its totient is φ = 88165728.

The previous prime is 103004311. The next prime is 103004329. The reversal of 103004321 is 123400301.

It can be written as a sum of positive squares in 2 ways, for example, as 20830096 + 82174225 = 4564^2 + 9065^2 .

It is a de Polignac number, because none of the positive numbers 2k-103004321 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 103004296 and 103004305.

It is not an unprimeable number, because it can be changed into a prime (103004329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58571 + ... + 60303.

It is an arithmetic number, because the mean of its divisors is an integer number (9999111).

Almost surely, 2103004321 is an apocalyptic number.

It is an amenable number.

103004321 is a deficient number, since it is larger than the sum of its proper divisors (16985011).

103004321 is a wasteful number, since it uses less digits than its factorization.

103004321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2960 (or 2953 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 103004321 is about 10149.1044432502. The cubic root of 103004321 is about 468.7613696561.

Adding to 103004321 its reverse (123400301), we get a palindrome (226404622).

The spelling of 103004321 in words is "one hundred three million, four thousand, three hundred twenty-one".

Divisors: 1 7 49 1213 1733 8491 12131 59437 84917 2102129 14714903 103004321