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13598101 = 112412741
BaseRepresentation
bin110011110111…
…110110010101
3221120212002101
4303313312111
511440114401
61203242101
7223403416
oct63676625
927525071
1013598101
117748500
124679331
132a8151a
141b3d80d
1512d9101
hexcf7d95

13598101 has 12 divisors (see below), whose sum is σ = 15316812. Its totient is φ = 12056000.

The previous prime is 13598099. The next prime is 13598107. The reversal of 13598101 is 10189531.

It can be written as a sum of positive squares in 2 ways, for example, as 2044900 + 11553201 = 1430^2 + 3399^2 .

It is not a de Polignac number, because 13598101 - 21 = 13598099 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13598101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13598107) 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, 3591 + ... + 6331.

It is an arithmetic number, because the mean of its divisors is an integer number (1276401).

Almost surely, 213598101 is an apocalyptic number.

13598101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13598101 is a deficient number, since it is larger than the sum of its proper divisors (1718711).

13598101 is a wasteful number, since it uses less digits than its factorization.

13598101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2804 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 28.

The square root of 13598101 is about 3687.5603045916. The cubic root of 13598101 is about 238.6855279439.

The spelling of 13598101 in words is "thirteen million, five hundred ninety-eight thousand, one hundred one".

Divisors: 1 11 41 121 451 2741 4961 30151 112381 331661 1236191 13598101