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13135001 = 1123193269
BaseRepresentation
bin110010000110…
…110010011001
3220201022211112
4302012302121
511330310001
61145310105
7216434315
oct62066231
926638745
1013135001
117461580
124495335
13294b7b9
141a5cb45
151246cbb
hexc86c99

13135001 has 16 divisors (see below), whose sum is σ = 15085440. Its totient is φ = 11320320.

The previous prime is 13134983. The next prime is 13135019. The reversal of 13135001 is 10053131.

It is an interprime number because it is at equal distance from previous prime (13134983) and next prime (13135019).

It is a de Polignac number, because none of the positive numbers 2k-13135001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13135301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48695 + ... + 48963.

It is an arithmetic number, because the mean of its divisors is an integer number (942840).

Almost surely, 213135001 is an apocalyptic number.

13135001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13135001 is a deficient number, since it is larger than the sum of its proper divisors (1950439).

13135001 is a wasteful number, since it uses less digits than its factorization.

13135001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496.

The product of its (nonzero) digits is 45, while the sum is 14.

The square root of 13135001 is about 3624.2241928446. The cubic root of 13135001 is about 235.9445970206.

Adding to 13135001 its reverse (10053131), we get a palindrome (23188132).

The spelling of 13135001 in words is "thirteen million, one hundred thirty-five thousand, one".

Divisors: 1 11 23 193 253 269 2123 2959 4439 6187 48829 51917 68057 571087 1194091 13135001