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90103013 = 7311213167
BaseRepresentation
bin1010101111011…
…01110011100101
320021112201002122
411113231303211
5141031244023
612535115325
72142602000
oct527556345
9207481078
1090103013
1146951800
1226212b45
1315889ac0
14bd76537
157d9c2c8
hex55edce5

90103013 has 48 divisors (see below), whose sum is σ = 125126400. Its totient is φ = 64421280.

The previous prime is 90102989. The next prime is 90103049. The reversal of 90103013 is 31030109.

It is not a de Polignac number, because 90103013 - 212 = 90098917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 90102982 and 90103000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90103313) 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 47 ways as a sum of consecutive naturals, for example, 539456 + ... + 539622.

It is an arithmetic number, because the mean of its divisors is an integer number (2606800).

Almost surely, 290103013 is an apocalyptic number.

It is an amenable number.

90103013 is a deficient number, since it is larger than the sum of its proper divisors (35023387).

90103013 is a wasteful number, since it uses less digits than its factorization.

90103013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 17.

The square root of 90103013 is about 9492.2606896355. The cubic root of 90103013 is about 448.3113883330.

The spelling of 90103013 in words is "ninety million, one hundred three thousand, thirteen".

Divisors: 1 7 11 13 49 77 91 121 143 167 343 539 637 847 1001 1169 1573 1837 2171 3773 4459 5929 7007 8183 11011 12859 15197 20207 23881 41503 49049 57281 77077 90013 106379 141449 167167 262691 539539 630091 744653 990143 1170169 1838837 6931001 8191183 12871859 90103013