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130503893 = 1331714561
BaseRepresentation
bin1111100011101…
…01010011010101
3100002120021200112
413301311103111
5231402111033
620541052405
73143156552
oct761652325
9302507615
10130503893
1167736563
1237857105
1321063c50
1413491a29
15b6ccc48
hex7c754d5

130503893 has 16 divisors (see below), whose sum is σ = 147151872. Its totient is φ = 114912000.

The previous prime is 130503887. The next prime is 130503899. The reversal of 130503893 is 398305031.

It is an interprime number because it is at equal distance from previous prime (130503887) and next prime (130503899).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-130503893 is a prime.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130503899) 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, 26333 + ... + 30893.

It is an arithmetic number, because the mean of its divisors is an integer number (9196992).

Almost surely, 2130503893 is an apocalyptic number.

130503893 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130503893 is a deficient number, since it is larger than the sum of its proper divisors (16647979).

130503893 is a wasteful number, since it uses less digits than its factorization.

130503893 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4676.

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 130503893 is about 11423.8300495062. The cubic root of 130503893 is about 507.2333759284.

The spelling of 130503893 in words is "one hundred thirty million, five hundred three thousand, eight hundred ninety-three".

Divisors: 1 13 31 71 403 923 2201 4561 28613 59293 141391 323831 1838083 4209803 10038761 130503893